It is the standard BBC that gets criticised for stuff like this, America isn't getting blamed.
You've set it better than I could.
It isn't BBC America that I've seen British fans hating on. Actually, they seem to be both jealous and appreciative that BBC America is doing a Doctor Who
What irks these fans, that I've seen, is that the BBC isn't doing anything like that in the home country. Instead of showing classic Who
to millions on BBC3, they're doing the film series that reaches two or three hundred people.