Words like “Bush” or “current administration” do not occur in the article. Rather, it was just a link. You don’t have any particular reason to be this charitable.
He linked to the White House website. The occupant of the White House at the time was George W. Bush. I am not even trying to be charitable, that's just the most likely reading to me. Basically every talk show host made similar jokes all the time because Bush was widely considered to be an incompetent nepo baby, so I'd need a reason to read it any other way, and I don't really see one here.