I think MP may have difficulty in some parts, not because of lack of technical ability, but more of because of how MM setup his drums and how he plays it.
For example, the arrangement of the tone of MM's toms is not highest to lowest from L to R. His setup is LRLRLRLRLR. SO he can do a very fast ascending or descending roll that hits each tom only once. MP's drums are not set up that way, so he would have difficulty doing this because his arms would cross if he hits each tom only once.
The drum setup also influences their hi-hat playing. MP plays hi-hats with both hands hitting the same hi-hat. MM, his hi-hat work is usually with two hi-hats at the same time, one in his left, one in his right. That is how he played in TLG, STR, and IT (quite inaudibly, unfortunately, because of the mix). If MP does those parts, he would most likely use a single hi-hat because his drum is not set up to play two-hi-hats at the same time.