Yes, I know it's not technically just methane, but methane is its primary constituent.
"Fossil gas" is also probably a suitable term, but I like "fossil methane" because it gets that spooky chemical name benefit.
Yeah, they can, but they don't. Every electric stove I've ever used has had long pauses between cycles. My current (heh) electric stove can barely boil water and getting constant heat for like a custard or hollandaise is literally impossible. And it's not an old POS, it's a newish Samsung glass top.
I literally boil water in a 120v kettle faster than my stove. A gas stove boils faster than both.
But obviously induction wins. Something like 95% efficiency plus temp control. I just wish they didn't whine like a CRT TV.