I didn't see this posted anywhere in the forums that I could see.
Typically, if all that's left during the resolution of consolidate power tokens, everyone can do this simultaneously since there are no decisions that need to be made based on what others do. It's just, pick up your power tokens and you're done.
However, if there are some CP* special tokens played, the mustering should happen in turn order so people can react to others.
Now, the question is - if the first player has several CP's played with one being a special mustering one, could they first take off a non-starred CP in order to see what the next person does and then resolve their mustering?
It's a minor point, but after playing GoT several dozen times, these little rules and timing issues keep coming up. Eventually we'll have it down perfectly with all the obscure minor rules clarified.
It only seems to matter if two or more players have played special consolidate power tokens. Only then is the resolution, one at a time, in turn order important. Even then, once only one player has a special CP left unresolved it seems like it no longer matters and you could go back to simultaneous.