I've heard this sort of structure used but I wouldn't say it's common. It's usually used to show that someone is the epitome of a certain characteristic, that that characteristic pretty much sums up their entire personality.
Someone who is very "lovey" (or romantic) would be "Lovey Loverson" as if it were their name.
I don't think it works with all characteristics. I personally think that the "Perverse" example you gave sounds very unnatural. I have heard "Fatty Faterson", "Sleepy Sleeperson". I was once referred to as "Picky Pickerson" as a result of my pedantic nature.