Before they decided to sack Nagelsmann I'm sure they had considered what happened to Bayern Munich, including losing their playing style because they were handled by a new coach where there would definitely be differences from his coaching style, one of the forms of play. However, his dismissal was said to be very hasty, especially with the appearance of Bayern Munich, which can still compete very tightly as you said.
This is a new chapter for Bayern Munich this season, I just hope they don't decline with their new coach.
Talking about Bayrrn style of play, It is not going to be different.
the only thing I will commend is the individual improvement which in hand will promote the team's performance. The players will want to show their best to the new coach so as to have first team shirts in his square. Tuchel is a German coach, he is a good coach and I'm sure bayern Munich's management have seen what they need in him else they wouldn't go for him.
Actually, this condition also has to see how the condition of Tuchel will be. Indeed, in terms of expectations and when looking at Tuchel's track record, of course the expectations will be good and it will be expected to be able to lift Bayern more, but on the other hand there is still nothing that can be said for sure about that because we also haven't seen how he plays. Even if there is great hope, of course it is not certain because in this case the performance must be evidence.