I sign up with a different email address on every website. (I have a catchall at my domain, rather than using plus-addressing.)
The results are more boring than you think. Almost no one leaks my address. A couple have been hacked, but almost all of those are widely known. (I did discover one early and help Troy Hunt validate a leak.) At least one Kickstarter campaign has shared my address, as has a local business. But that seems to be the extent of it.
I still do it, because I did manage to catch those things, and because it reduces cross-site correlation. But yeah, there's less skeevy behavior than you might think.