Hairdressers aren't super relevant for an occupying force.

That's fair. But I'm pretty sure most of the manufacturing is still near where the population is since workers are needed. And if they decide to go full settler mode, all the urban areas will be free to occupy if Canadians are out in the forests defending the homeland.

But tbf, it is Trump we're talking about. He would probably want the oil more than anything, even if there's so much else that would be much easier to take.