Previously Bayern Munich had been coached by Guardiola so I think the reasons you say don't make sense to me, apart from that so far Kompany has only been a player under Guardiola coaching and not as an assistant like what happened with Arteta, I don't see the style the game owned and implemented by Kompany so far is similar to the game used by Guardiola in the manchester city, so there is indeed a significant difference in terms of the two of them coaching so far, Bayern Munich recruited Kompany after they couldn't find another coach who really wanted to train Bayern Munich, apart from that style The game implemented by Kompany at Burnley is considered to be suitable for Bayern Munich playing style so far.
Hopefully the steps taken by Bayern Munich are not on the wrong track by considering that Bayern Munich's style of play is not much different from Burnley's style of play when coached by Kompany. Because there will definitely be differences and Kompany must be able to handle a team as big as Bayern Munich to become champion because the team is still considered a Bundesliga giant next season. But it will be very painful for Bayern Munich if they cannot win the Bundesliga next season because the toughest rivals for Bayern Munich next season will still be between Leverkusen and Dortmund.
The striking difference between when he was Burnley coach and now is the pressure. At Bayern Munich he will be under much greater pressure than at his previous team. Because demands from fans and from management are things that can make them happy, one of which is being able to win the championship title again which last season they couldn't get one in all the competitions they played. He must have the mentality and stay focused on what he has to do. I think he already knew about this risk even from the first time Bayern Munich made an offer to handle Bayern Munich.
While he was still playing he received a lot of instructions from Pep Guardiola, he should be able to absorb knowledge which he could then develop himself. There are many things he can learn while still being a player. We have to be a little patient to wait for how he will perform with Bayern Munich next season. Because right now we haven't seen what he will implement, so we have to be patient at least until they play their first match.