I notice you don't link the Wikipedia page about the rolled R [1], probably because it contradicts you. There are many kinds of rhotic trills and the guttural R (aka uvular trill) is one of them.
Another fun trill is the bilabial one [2], like imitating a fart with your lips. It doesn't really qualify as a rolled R, though.
The normal (American) English term for this is "raspberry".