The only problem in waiting with Kompany is, there are many players in this current Bayern squad that are almost same age with him and some players also wouldn’t see him as an elite coach and that could be an issue when he decides to stamp an authority, but if the management board supports him fully he will definitely be able to overcome those challenges.
That is the only thing I also see as obstacle to him since some of the players like Thomas Mullar, Lenore Sane, and some other players are either of his age or above him, but as you said, if the management supports him by given strong warnings to all the players to abide by his laws, the team will do better under his management because he looks like he is going do something better than Tuchel and since he is still young and has worked under Pep, he will be a better competitor to Alonso, and since Bayern Management do spend money on players, he can be lucky to get some good players to add to his team which will make the team more competitive than it used to be including in the Champions League.