Hold on a minute, what are you saying concerning Mane?
How many seasons has he played for the Bayern Munich side? He just got in the squad and they're acting desperate of getting the UCL like what are they expecting from a guy who just started with a new team new atmosphere, come on, to me I feel there's something we really don't know about the Bayern Munich decision on letting Mane go. Mane is a very good player which he showcase at Liverpool so I think they're not telling us something or the reason why.
If he makes a move to any club I'd like it better but I'd prefer he goes to a place where he can compete for trophies like the UCL to enable him being shortlisted for the Ballon dor.
Sadio Mane quality is quite good and everyone recognizes it when he was still with Liverpool where he was one of the most impressive players at that time. But Sadio Mane seemed to find a form that was not too good when he joined Bayern Munich last season, so that Bayern Munch took a stand to release Sadio Mane in this transfer window. Indeed I agree with you that if Tuchel gives time for Sadio Mane to find his best form next season then I'm sure Sadio Mane can do it.
A player sometimes needs time to adapt to the team's style of play and it is common for a team to provide support for the player to rediscover his sharpness. I think Bayern Munich decision to sell Sadio Mane was quite hasty in this transfer window.