I genuinely find my tarot apps to be just as accurate, and occasionally as scathing, as my ink and paper decks. I still prefer a physical deck and I have waaaay too many, and I still basically always have a deck in my purse anyway, but still. Apps are discreet, fast, and in some apps, you can do freeform spreads. Some apps are also packed with information! The Zirkus Magi app is fantastic. Sometimes apps have really nice spreads that I've ended up using with physical decks. Etc.
I don't find it any more impersonal, and most apps have an option where the cards fan out and you pick one out, if you like that kind of thing. Personally, I skip that step and I just want the app to throw a card at me.
If there are forces out there that govern our divination, I think they are more than capable of tweaking my tech so that I see the "right" card, and in fact I feel like a spiritual entity manipulating an information flow seems a lot more plausible than most methods.
And if there are NOT forces out there that govern our divination and it's all psychological, then app vs paper really doesn't matter much, as we're going to see what we're going to see anyway. The symbolism will be there and our conscious and subconscious will react accordingly.
I do suspect it's highly YMMV, because you probably have to be comfortable with tech to be open to the experience--not just capable of using the tech, but comfortable on a more abstract level.
I also don't believe in cleansing my physical cards, and I don't believe that little stacks of paper printed off and packaged in some factory in China by workers in probably terrible working conditions are somehow inherently sacred objects, so that attitude probably predisposes me to feel comfortable with apps, as well.