Oddly enough, Mrs Thatch, I think we can say, seemed to share Hillary's innate lack of sympathy with workers in heavy industry so maybe background trumps politics here? They both come from business/entrepreneurial families,
don't they. Understandably they'd take a dim view of generations of sheeple trudging down coal pits to get lung cancer or whatever.
On the other hand, many traditional Labour supporters liked her, as you say, and she in return seemed to appreciate the Home Counties wideboy, cash-in-hand painter and decorator types just as much as she appeared to cherish the various chavs and spivs filling up the City. In the United States, Hillary's solid urban support would, I guess, be their expensively-educated sons and daughters.
As I used to enjoy telling Jaguar George, before he moved on, it wasn't Labour that deserted the workers; the workers themselves deserted the workers. Backing globalisation has simply meant moving the working class poor and their jobs "offshore" so at least nobody has to look at them anymore. As you suggest though, they may not have been brilliant jobs in the first place, not lucrative like playing professional football or being a 24-hour fast food delivery service racketeer or anything, but at least they were our jobs.
Over time though, it was bound to leave them somewhat vulnerable at the ballot box, certainly to anyone who was actually able to display a gut-level respect or admiration for "our" workers, whichever side of the political spectrum they were from. Anyway, at least until mass immigration from the third world really kicks in again.