Yes, Bayern Munich has improved a lot with Vincent Kompany, currently Bayern Munich is much better than Tuchel. Their performance has changed a lot this season, and they are playing a big role in winning the title in the Bundesliga. Although this season, Leverkusen will be in a lot of competition with Bayer Munich, as they are competing with a very small point difference in terms of points. Winning the Bundesliga is very important for Bayern Munich, so they will not give up this season but will try to improve their game. Vincent Kompany needs to be tougher and he needs better speed to continue to be strong, which he can be successful in giving to Bayer Munich.
I don't know why most person be sounding really impressed by the Bayern Munich improvement in a way that sounds like they were never good or they were performing too poorly and so now they are doing much more better than ever, its really not that way because even before tuchel took over as the manger of the tea, they were doing quiet well until they had the tuchel era which didn't turn out nicely but regardless they did a little well only that they didn't win the league title then, so Kompany is actually doing a good job but he didn't come to meet a really terrible team so he had little work to do literally.
Bayern Munich's squad was quite sufficient for the Bundesliga. In fact, the squad given to Kompany was the best team for the championship. To tell the truth, I was very surprised how Thomas Tuchel could not become champion with this squad last year. Kompany is trying to do what he could not do and become champion this year and is in a very advantageous position. That's why he is trying to bring the best success to this squad.