are you quite serious? Disney doesn't think they own coming of age tales or intrepid children feeling out of place. Disney thinks they own the things they paid to create during the operation of their business.
the daycares Aren't making up their own stories, theyre directly benefiting by using Disney's products without licence or permission. this is the exact opposite of seeking.
To prove intent you'd have to prove the daycare knew the works were copyrighted (i.e., the distinction between public domain Snow White, and Disney's Snow White), knew the copyright law sufficiently to know this was infringing (i.e., painting on the interior of a daycare where you're clearly not economically benefiting), and to choose to do it anyway.
Hence why copyright law doesn't take intent into account; 'ignorance of the law is not a defense'.
If your intent is to comment on Shakespeare, and it happens that what you produced, when run through some process, produces something under copyright, but the thing you intended to express doesn't, I don't think that would violate copyright law? Or at least, no one would convict you.
For copyright, it really doesn't. Hence Disney threatening to sue daycares for having Disney character murals on their walls.
While we have since had the four factors of fair use introduced, it still doesn't care about intent; it cares about how the work is used/transformed, but that's different than intent.