Bayern Munich under Vincent Kompany has improved compared to Tuchel, they have started the season really well, they have taken the lead in the Bundesliga above Leverkusen and Dortmund, and if they can be consistent, I think they can win the Bundesliga because they really need to win their matches one after another, then focus of avoiding losing, and they need such momentum to keep going.
Although Munich has experienced a big increase, but I am sure Kompany feels depressed by the current situation. Just look at how Leverkusen is currently getting better when Alonso also has ambitions to get another title this season. While the difference between Leverkusen's points and Munich is only 4 points and it is very easy to pursue by Leverkusen.
What I see today Munich has a few weaknesses in the defense and if Kompany wants to get a title this season, he must fix the problem. Because I'm sure Leverkusen will get a greater increase in the January transfer window.
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.