The Marvel universe has plenty of mutants (i.e. homo superior, like the X-Men) who are strongly hated by a sizable population. And Spider-Man on first glance isn't all that different from them. Several mutants are animal-based, like Wolverine, and his powers developed as a teenager. Heck, there was even a question on this very site where a poster had assumed that Spider-Man was a mutant (he is classified as a mutate instead, since he doesn't have the X-gene).
It seems to me that J. Jonah Jameson, editor-in-chief at the Daily Bugle (who has been hell-bent on informing the public that Spider-Man is a menace ever since The Amazing Spiderman #1) could just call Spider-Man a mutant (regardless of his own feelings towards mutants) and get all of the mutant-haters to hate Spidey overnight. Sure, he may not have proof to back it up his claim, but that's no different than anything else the editor has written about him.
This would also further his goal of getting Spider-Man get arrested, as there have at various times been sanctioned government persecution towards mutants. And yet I've never seen him do this in anything that I've read.
So has J. Jonah Jameson ever accused Spider-Man of being a mutant? If so, why did he stop? And if not, why hasn't he?
(I'm mostly interested in the Earth-616 universe, a.k.a. mainstream Marvel comics, but if there are any relevant instances in other universes, I'm open to hearing them).