Do you think Müller has become a better play under Pep though? Or is just a case of him getting older and more experienced and natural development occurring?
With De Bruyne at Chelsea I think a lot of it was a development issue. He probably moved there too young and wanted to play week in week out to develop which under Mourinhonwas always going to be a struggle as it always seems Jose likes his established players who he can coach his gameplan ideas to rather than coach individual ability.
Now it is different as Kevin is older, more experienced and closer to the finished product.
I think there is more space in England too which is the reason why I think he will be OK as an 8.
In regards to Pep's man-management, if anything a lot of our players need it. One on our biggest issues in the last 18 months is consistency in intensity and motivation.
I think with our ageing team Pep will be able to rebuild it in his image pretty much as we have a lot of players after this season near, at or over 30.
If I look into the development of his numbers I am not sure about it - he was on a very high level in the treble season already - in the first half of the season only the big two were better - his numbers during Pep time until this season stayed the same. But he had them even if he was restricted in his positioning - that was somehow the surprising. He was not really playing so well then. Müller often played in a restricted position - were he could not really play out his strength that well and were he did not have that much freedom. But - his biggest asset aren't his goals and assists but his unorthodox runs that do not even have him as an assistant or goal scorer but with which he helps others e.g. to not get into the offside trap, to smart out defenders to follow the wrong person etc. There is about no offensive action where he does not have an influence it.
That sounds like he did not have made a development. But he has. He is much more consistent. He technically improved a lot - especially his passing. He was absolutely right footed some years ago with a real weak left foot - but he nearly shoots and assists as good with his left foot now and I would call him two-footed today. His "8-division-actions" - looking sometimes like he had the technic of a sunday-league-player in matches he had years ago are barely to be seen today. He still looks funny and odd - but that is more because of his stature with his long skinny legs. He is still not known for his dribbling skills - but if you look into the stats he has more than 60% won dribblings and even if he does less than the real dribblers when he does it works out. That he just scores tap ins for sure does not held any thruth - he had 4 great goals from out of the box last year alone in the Champions League. I think that the development was already real seen at the World Cup 2014 - he just could not always show it in his roles at Bayern.
A lot players have made big personal developments at Bayern. Boateng did and even told that Pep learned him defending. The only one who did not make the next step is Götze - he might even have made a step back. But the reason might have been that the hype was too big around him and he already came into the league fully developed. It is up to the players how they develop - it is not just talent but mentality, a lot of hard work, character and sometimes even luck. But I can see Götze leaving in summer - preferably he will follow Klopp to Liverpool.
To Kevin - it depends with what attitude he gets into. He is a red head and he really has the temper with it. It could be seen in a very disciplined team like Wolfsburg - but when everybody else is "good" that might be more obvious. Same with Chelsea where Mou had a lot of nice sheeps and could sort out the bad tempered guy. In another environment Kevin even might be one of the more disciplined especially as he already is used a lot from Bremen, Chelsea and Wolfsburg.
When it is about discipline I always have Ribery as an example. When he came to Bayern he was very undisciplined. Van Gaal had various problems with him but he already had a too big status at Bayern to really be able to sort him out. Heynckes was more the fatherly friend and with his guidance he got him to get really disciplined and hard working. That is why Pep did not have any problems in this aspect with him.
About the space - right now there is a lot more in the EPL than in the Bundesliga - atleast for teams like Bayern. The Bundesliga teams usually do not draw back as soon the loose the ball and park the bus - but already start to press when the ball is lost. You have seen that e.g. in the match against Stuttgart. But - in the future it might not be just the tulip general who sets up his team in a ball possession style - but others, too. And Arsenal is usually a team that does the same even if they lately seem to be more successful when they counter attack (Özil's assists might have to do with that, too. That little more counter attacking for sure has helped him). Liverpool might be the biggest danger in the next season. Not because of the class - but the biggest threat to ball possession is a lack of pressing resistance and teams that are set up the way Dortmund was. Bayern needed 3 or 4 years since the emergence of the system to cope with it and several coaches - and the other teams in the Bundesliga followed that way. Learning a system that is based on pressing and counter pressing without that ball possession part (hoofing is what the EPL teams always were good in) is not that difficult. Doing it fully - all the positioning, having the ball skills and passing range, being pressing resistant, playing with a high line including a very good pressing - is far more difficult and very vulnerable when not played in perfection. To get it working is a very big art even if it probably is the best system when you perfected it.