Much of Jyotish was influenced by Hellenistic Astrology (largely due to a mix of Alexander of Macedon's invasions, and thousands of years of contact between India and the Greek world), so Western and Indian astrology are not too different from eachother, despite the differences of Zodia.
I disagree with the assertions that Jyotish practitioners never use Outer Planets or asteroids, there are those who do, they're just currently in the minority at the moment.
Both versions of the Zodia are correct, but the meanings, such as Scorpio or Aries, are pretty different from eachother. Honest books will not make Sidereal Libra sound like a clone of the Tropical, and vice versa.
Western does have Lunar Mansions and use of North Nodes, they're just not used as heavily.
Personally I'm working on learning both Traditional Western and Jyotish side by side to supplement what I'm working on with Modern, and mostly with the Tropical Zodiac. I don't think it's impossible to mix the methods, and there is a lot about the houses, timelords, Nodes, and planetary combinations that are very useful to learn even if you aren't using Sidereal.