I choose the “built on” wording deliberately. It’s not a direct sample. Most of “Sexy No No No” is built on the guitar riff from “Hair of the Dog” but doesn’t sound like the exact guitar from the source track. This is what one would colloquially call a sample, except I suspect it doesn’t meet that definition here. Is it an interpolation? Something else? It’s close to what Rachel Stevens did to The Cure’s Lullaby, which I marked as a sample at the time but I’m no longer sure.
AFAIK the “quotes music from” is to be used for interpolations; which is pretty much the scenario of someone re-performing the musical melody to be used in a new work not snipping out the original performed melody and splicing it into their work which would be a sample.
Based On was the old way of doing things; it’s one of those weird relationships that kind of doesn’t mean anything in particular but could be used if there is a genuine “basis” for one work to another. I’ve used it for response works like:
Not nearly as much. It’s subjective, but the GA is far closer to “samples” than “based on” on an imaginary slider. Ice and Touch don’t just lift a hook, they really take the song en masse and rap over it. Sexy mostly grabs a hook and loops it (even less “based on” than, say, Charli XCX Beg for You and September Cry for You).