Which is why no one in the US would dare of trying to pull off this shit after the fact.
Well, there was the infamous pea puree incident. And it's well documented that Top Chef keeps people who can be cut to look irritating on longer than they deserve.
Bake Off is more chill than American TV not because of any pretense of fairness (of which, admittedly, there is none), but because the prize of "a cake stand" instead of $75,000 or whatever Top Chef gives these days means you get less of the tragic GoFundMe stories and more focus on the actual baking. And because it isn't a bunch of rich people watching the lower middle class fight for scraps, it's cut more like Mary Poppins than CNN's "Battle for the White House."
I honestly wouldn't care, though, if the show was just as scripted and fake as House Hunters. Hell, I watched Shokugeki no Soma up until the train arc, and it's not only fiction, it's one of the trashiest of trash animes I've ever seen. But like Bake Off, it has the advantage over shit like McMansionHell that it actually bothers to get the details right on cooking and baking. And like real cooking, I'm sure 90% of the people involved are assholes especially those in power, but that doesn't really get into the food itself so whatever.
But all that said, I still have no clue where the "they always favor the white housewife" discourse comes from and despite talking about your time in showbiz you didn't even address that - two of the recent winners and many of the finalists were from the middle east or the Indian subcontinent. There's regular discussion of how to balance flavors like rose, cardamom, and pandan without having them taste like soap. And the second half of the show is a hazing exercise in making the contestants bake European obscurantae. It would seem if anything that they're trying to teach British people that there's more than milk biscuits.