Just to be clear, I am talking about a run of the mill personal FB not a public front account like a business or celebrity.
I have no problem accepting an FR from someone here but I would have to know it was for sure that person. Like if Robin sent me a an FR I'd accept because I know her whole name and where she lives and such so I could confirm it's her. But let's say Mike12345 wanted to friend me but I don't know his last name. So I'd expect him to say "Hey! It's Mike12345 from BP.net" then I'd accept.