The choices of who to work with in the studio are much different than who to work with live. Ligature’s point about Neil “presenting” a record live with usually scant relationship to the people who record it is spot on and not unique to Neil. McCartney’s band hardly plays on his albums, Noel Gallagher’s band doesn’t play on his either (even though Jeremy Stacey stopped touring with Noel, he still does his studio drumming), similarly with Bob Seger and countless others.
The pattern always sort of makes me laugh, particularly if someone has a hot live band - inevitably you see the tour and think “now why didn’t they record it with these people?!” But the studio process is mysterious, and the people you want around you while you’re grasping around for sounds and songs have a wholly different set of requirements than those you want to traipse around the world with.