I think he's right. The GOPe isn't of the base anymore, they consider the base to be useful idiots that they sucker into voting for but really dislike and are embarassed by. And the GOPe (a.k.a. the Bush wing of the party) is running it. Ergo anyone like Trump or who supports Trump is the actual Republican in Name Only.
The GOPe never was of the conservative base.
They’ve been around for decades, calling themselves the “New Republicans” back when Eisenhower was in office.