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.
Maybe last season they performed less impressively and not only in the Domestic League but also in the Champions League they seemed to play worse than Bayer Leverkusen who performed impressively last season, so far Bayern Munich is still running consistently packing 36 points seems still not enough to get away from Bayarn Leverkusen's pursuit which continues to stick to Bayern Munich, their focus is divided into two to win the domestic League title or the Champions League so whatever happens now is still in the process of improving in several lines which according to him still look less than good.