[Xavier]

But the Shrink is essentially Sam the Queen's shrink. To keep her occupied, to keep her spirits up or what have you.

Yes very true:
http://oddworldlibrary.net/archives/...ink_stats.html

Shrinks are psychiatrist AIs mass-produced to keep workers productive. They're canon as far as I can tell, but Abe's Shrink probably wasn't anything special. In fact, it was probably shared with a dozen other workers.

Sam gets multiple because she has to work around the clock.

This. ^