One of Alabama 3's finest songs, especially the versions on the single this image is from...
Sweet Pretty M*th*rf*ck*ng Country Acid House Music - All night long!
If the list of all names you've ever entered as a Player is used as the list of recommended Players, then it would stand to reason that the only way to clean up the list is to edit past plays, removing incorrect names or correcting them.
This is likely true, if how BGG handles locations is any precedent (and it is).
It'd be nice if BGG had a way to access and manage/maintain the list directly, though.
Also, it'd be nice if the Locations selector (and presumably Player selector) supported a larger number. I've grown past the current 200-location limit.