[webmaven]

You're correct, as long as you include the understanding that "reproduction" also encompasses "sufficiently similar derivative works."

Fair use provides exceptions for some such works, but not all, and it is possible for generative models to produce clearly infringing (on either copyright or trademark basis) outputs both deliberately (IMO this is the responsibility of the user) and, much less commonly, inadvertently ( ?).

This is likely to be a problem even if you (reasonably) assume that the generative models themselves are not infringing derivative works.