Maybe Tuchel would really be better for Bayern Munich in every way. But I still think that attitude against Nagelsmann was unfair. They could have at least waited for the end of the season before making such important decision.
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I agree with Pulsar77 about the timing. Mid-season isn't the best time to switch the management and players will require some time to get used to the new coach strategy. What might be good, is the international break. The advantage of having a week before the next game rather than 1-2 days is important. There is also 2 weeks to prepare the team before facing City in Champions League.
Otherwise, Bayern players are professionals and I assume they will get used on him fast.