That album is a master class in recording techniques.
That credit would go to studio engineer Ken Callait who is also the father of singer-songwriter Colby Callait.
It was mostly the guys in the booth cutting out stuff though with Mick, they didn’t need to cut much. He was always more of a percussionist than a rock drummer.
Check this one out, https://www.youtube.com/watch?v=lXrb0DU4ko4
RARE: Stevie Nicks Bob Welch Gold Dust Woman Mick Fleetwood Christine McVie 1981 HQ Version
Live, small venue.