I think what this discussion badly needs is another Bayern fan, isn't it?
First a disclaimer: I have and always had a soft spot for Hazard because I just like this type of player and he always reminds me of Ribery, one of my favorite players ever.
I think it's very hard to compare Hazard and Müller.
If someone argues that Hazard had the slightly higher peak for 1 or 2 seasons I can live with that. But looking at their whole career I can't get how many people in here rate Hazard higher. Müller plays consistently on a very high level for over 10 years (with the exception of the dark times when Kovac was our coach...) and is barely ever injured.
Some people in here argued that you can't just judge a attacking player by his stats. I agree with that.
They argued that Hazards dribbling skills, passing and creativity are far superior to that of Müller.
And while not even the biggest Bayern fan would argue about their dribbling or passing skills I'd say that Müllers creativity is greater than Hazards.
Maybe it just comes down to the definition of the word "creativity".
For me it's anticipating, seeing and using game situations and open space before other players.
This can be done through various means. A good dribbling, a great pass but also with good positioning, a smart run that lures away a defender and creates space for the teammate or by just coaching his mates on the pitch.
And those last three aspects I mentioned are some of Müllers biggest strengths. Unfortunately they tend to get overlooked, even by many Bayern fans that see him every week.
I have a good and recent example for what I mean:
Please take a look at the 4:0 (starting at 6:30).
Before the ball is even close to Müller he shouts at Musiala and points at where he should run (you could see and hear this better in the game itself but I didn't find a better video unfortunately). Müller than plays a simple looking but perfectly executed pass that leads to an easy goal for Bayern.
You won't see this situation reflected in any statistics because it's no goal and no direct assist of Müller. But I'd still argue that at least 50% of this goal were due to Müller and his creativity.
So I just wanted to ask those that argue that Hazard has shown far bigger creativity than Müller: wouldn't you consider what Müller has shown in this goal as "creativity"? I certainly would.