Yes you are right, Kompany will have to prove himself because chosing to become the manager of a big team like Bayern Munich already shows how ready he is willing to improve his technical abilities because Bayern Munich has already witnessed his performance as the Burnley head coach and saw how the team was relegetd last season,I believe here must be something the Bayern Munich management saw in the portfolio of Kompany before giving him the job as the head coach of the team so he's going to do his best together with the players in the team to make sure the team gets better than last season.
The experience that Kompany has gotten under the management of PEP Guardiola is also going to help him work with the Bayern Munich team so adding his experience together with the people he's going to work with will sure help him to win trophies for the team which is the reason why the club appointed him as the manager.
I can see that many people are talking about Kompany as the head coach of Bayern Munich. Some people say he is good, while others are talking about another side of Kompany. I have sat down with some guys today and they said he did not have the experience to lift Bayern Munich, but I told them that it is not all about the management knowing what they see in me and the type of experience he has before giving him the job, and I can see that you are kind of hyping him.
I won't argue that Kompany is good, but given the fact that he is going to lift Bayern Munich, I still think that Bayern Munich is too big for his experience. However, let's see how it will be by next season if he wins the trophy by next season, as you said, since I believe they will want to come back aggressively ahead of the Bundesliga title that they missed.