It really isn't ambiguous at all, imo. He's clearly saying flipping burgers isn't skilled labour. Like that's literally what the sentence means, as he's comparing flipping burgers to "skilled labour", which he wouldn't do if he thought "flipping burgers" is "skilled labour".

He says he'll be "damned" if what he says are unskilled worked at McDonald's would be paid as much as him — who identifies as someone doing "skilled labour"