I think the question is more whether your obsession is unhealthy or not. This varies person to person, situation to situation.
There are lots of people addicted to technology, Facebook, Twitter, food, drama, BS, whatever you can think of... this doesn't make them the most unhealthy of individuals, but it can point to a lack of balance and trading focus in life and interpersonal relationships (FB friends are not relationships imo...) for something more satisfying in the short-run. It's something many of us do though. Also, with all the "hooks" that are around us, either commercial goods, watching media, news-wise, politics, etc... much is there is to distract us from a better state of being.
If you can perform a test on yourself. Put away your decks for a month or so and don't touch anything Tarot related. Stay away from technology, other sources of things that connect you with this aspect. If you can get on fine without experiencing major dysfunction, then you have your answer.
I'm actually a strong believer in technology breaks. The mind gets "bogged" by all these idle connections we make day to day. Phone bleeps, twitter chirps, constant FB likes, etc... it all adds up and turns into a dramatic drain on our time and energy. It's important to balance this with proper intent if your goal in life is to be a truly healthy individual in control of your existance, rather than letting tech or expensive hobbies determine your true destiny.
This again, being a personal affair, has to be something you have to think upon. I don't think Tarot itself on it's own is problematic. However, I'm careful who I introduce to cards as this field can attract fantasy-driven individuals who are looking to support alternative realities rather than validate their own individual.
Though, I think what complicates the litmus test for this is that a lot of people here (including myself) use Tarot for spirituality purposes. So the person who goes to read the Christian Bible at night and kneel at the bed for prayer, for some people this is tuning into the "self" through Tarot and cleansing themselves of distractions and other thoughts that have been ruminating throughout the day. This in itself is a fine usage.
The issue is when it becomes a dominate thing. Like the bible thumper who goes door to door, pandering to "sinful" individuals to "correct" their behavior. The reader who reads friends without their permission and starts to tell them what to do. The "minder" who pays close attention to the "spiritual" integrity of those around them and then passes "judgement". Both will tell you they received their information from a "true" source (the bible, tarot cards, etc)...
Recently, a therapist at my husband's job had gone to a church group after breaking up with someone she had been living with several years. She mentioning being suicidal, but given her knowledge on the subject, she understood where the feelings were coming from but because this was on her only support group, these were the people she could go to when she wasn't feeling her best.
Next meeting, they surrounded her in a parking lot, trying to "bring her back to God". When she mentioned the break up had been difficult for her, they told her "Well you were living in sin anyway, so what did you expect?" It was traumatic because they had her in a circle and were not allowing her to leave. She said she would call the cops if they did not disperse. For some, this would be morally subjective. Like a Christian may write it off as them having the highest (literally) of intentions. For me this is a case of being "obsessive" to the point of dysfunction, in either case. As this "group" had lost objectivity and caused this woman significant trauma following the incident.
We have all met these "obsessives"... whether they are Trump supporters, PETA fanatics, evangelists, pro-lifers, gun rights activists... they LIVE for peer reception, to be referred to as the top "activist" or "enthusiast" in their order... same with people who sit at home 24/7 playing video games, spending 50% of their income to the point they can't afford their own way of living (they live at home). There are games that last several hours (or even 24 hours) if allowed and as such, people will not shower, will not maintain real interpersonal relationships and will "disappear" off the grid in these hobbies. They have almost no life, no sense of health outside of these things.
To me, all these people show serious signs of obsession to the point of emotional dysfunction. They have become too reliant on one single facit of their life, to the point it starves their entire existance of meaningful connections and they are actually losing the plot in terms of the positive aspects of these things. I say as long as Tarot is helping to improve your connections with other people and with yourself, it is not harmful. The moment it becomes a habit that hinders your ability to make positive choices for yourself, then maybe consider curbing back... but what is "healthy" for one person in terms of freq. of usage is going to vary from individual to individual. Some of us can binge drink several times a year when out and not become alcoholics. On the other hand, there are individuals who can't have one drink without falling back into a state of total dysfunction...
Either way, we are all obsessed about one thing or another. Our individualistic culture actually encourages this sense of "passion" in terms of our hobbies and what "centers" that individual. Whether it be politics, Facebook, other hobbies, Tarot, etc... doesn't make us "bad" or "individuals beyond repair". Though I have known people to go overboard with the occult, particularly towards developing psychic powers, etc... knew a guy who took acid in order to increase his awareness and psychic powers. So I am very careful about who I introduce to cards or these things until I see they have great judgement. And even then, I'm still not sure it is necessary to introduce. It's not that I'm worried about the stigma as much as I don't feel that everyone necessarily "needs" cards. I can go months without reading and my intuition functions just the same and it's a seamless existence. I use the cards as part of my spiritual practices in most cases and diagnostically when checking my gut. However, some months I am busy with work, working on other projects and not spending so much time doing energy work. So all this is going on, it is definitely on my terms.
Try going without a cell phone, computer or even a radio... it's very nice to live an old school existence every once in a while. I did this several months during a period of being "ungrounded" and I reconnected with my nature-driven self. In my opinion, tech can always "wait". I have clients who expect me to reply instantly to all their queries, but I don't live on their timetable nor does my family. I have hours for this and that, but the rest is focused on staying healthy and grounded in my "happy place", with my husband, my dogs, my music and my artwork. I only listen to news when I am working as it helps me to focus on what else is going on the world (as that relates to my field--communications design).