Absolutely. A hob is the stovetop, burners, etc. (whether it’s actually on top of a stove or a separate, independent unit).
Sounds perfectly plausible. My old German teacher told me about the language thing in school, incidentally. It’s occasionally come up in conversation, and is always oddly revelatory.
Not widespread (well, I guess being contained in a small space is kind of the point), but it is known. Perhaps more so than its use to refer to the cooking pot.
Huh. I always thought the Dutch in Dutch oven was one of those ‘not really but sorta like’ uses of dutch. Like dutch courage, dutch door, double dutch, dutch uncle.
Another thread has just reminded me of this. Hamburger: hamburger only means the patty in the UK (and it’s pretty much never called a patty). And because ham is a kind of meat, and burger is an accepted shortened form which has become totally generic (chicken burger, veggie burger, etc.), hamburger isn’t that common either. A pack of frozen burgers is commonly labelled “beefburgers” (to distinguish them from “hamburgers” in the minds of misunderstanding Britons, I can only presume).
I remember my Dad disbelievingly saying “McDonald’s go on about their hamburgers but they also say their burgers are 100% beef!” when I was a kid.