> If you analogy was you were a human who memorized every variation of a problem (and every other known problem)

This is mere assumption. AI is supposed to work like that, but that's a goal, and not the result of current implementations. Research shows that they do memorize solutions as well, and quite regularly so. (This is an unavoidable flaw in current LLMs; They must be capable of memorizing input verbatim in order to learn specific facts.)

> and there was a tiny perctange of a chance where you reproduced that exact varation of one you memorized

This is copyright infringement. Actionable copyright infringement. The big music publishers go after this kind of accidental partial reproduction.

> but then added an after the fact filter so you don't directly reproduce it...

"Legally distinct" is a gimmick that only works where the copyright is on specific identifiable parts of a work.

Changing a variable name does not make a code snippet "legally distinct", it's still copyright infringement.