"After losing his wife, the Rhino's bestial side takes over"? And presumably he blames Spidey personally for this, so we can have a grudge match?
Why not? Why the fuck not? "Spider-Man: The Asshole Arachnid" has a nice ring to it. Like, what if Mysterio is pissed at him because Spidey slept with his daughter? And the Sandman could be pissed off because Peter got a job he was really hoping for. And Venom? Well, after his Gargan's wife had a miscarriage, Peter turned it into a viral video that had 550,000 hits on Youtube. OMG YOUTUBE, THAT IS A THING THAT EXISTS! Eat that up, youth market!