Seems like this problem would have been solved long ago if enough people actually cared about it...
This, of course, makes it unviable to produce a better product (like an electric stove with better temperature feedback/control) without dramatically increasing prices to make up for the loss in market share.
Induction hobs are much better in thst regard, but they fail in other ways - eg with gas i can lift the pan slightly above to shake it ans mix the food, with induction the second i get a few mm above the surface, the pan stops being heated.
Its a massive change in process and feel... Its a bit like going fron riding a motorbike (extremely responsive) to piloting a canal boat where action and effect can be minutes apart.
I don’t think it’s a “problem” per say, but it’s different. The flame indicates temperature in a way most people understand. Have you used a wok? How about cast iron? There’s a lot of nuance to certain dishes and methods that don’t work as well on an electric stove. The flame itself rises and hits the pan in three dimensions and a more distributed way.
I’m not saying it’s not okay (I’ve used an electric stove for a few years). But it’s not “puzzling” why people would like a flame to cook.
I think there are some nice electric stoves that use infrared heating and are plenty powerful and reasonably reactive, maybe that's what you have. Induction, of course, is even better.
Maybe the problem is really about price and quality. A gas stove will always work, even the cheapest gas stove has good temperature control and power. Even a camping stove can do decent cooking. You can also put anything on top of it, including your cheap bent aluminium frying pans. Cheap electric stoves lack power, and electric stoves, induction in particular require good quality, compatible cookware to work correctly.
Another problem with cheap electric stoves (especially induction) is that a lot of them have absolutely terrible capacitive switches that work half of the time. I never had this issue with knobs on a gas stove, even the cheap ones.
I didn't think people were using electric stoves to be a superset of induction stoves. As far as I can tell, there is no such thing as a cheap inductive stove, and the break down (where I live) is: low end - electric stoves, mid end - gas stoves, high end - induction stoves. Induction just has a lot of advantages in speed and cleanup.
I'd take anything over the awful "student house electric oven" I have now though.
The temperature is all over the map.
I had to simmer something at 180F and it took me 30 minutes to find the right power setting and a big pot of water to stabilize the temperature.