That's only true for the type of electric stove that is still (bizarrely) popular in the US, with exposed spiral heaters. At least in the EU electric stoves are all glass. And many of them are induction heaters, which means your plastic chopping board wouldn't even notice being on the heater.
Cleaning melted plastic off of the vast majority of surfaces, including glass, is hardly easy.
OTOH, leaving a plastic (PP or some other thermoplastic) board on non-induction glass heater top would smear in a horrific way, close to impossible to clear it. The heaters do have LED illumination, though.
As long as I'm ackchyuallying, I'll also point out that radiant cooktops don't have LEDs in them (at least I've never come across one like that). The red light (which I assume you're referring to) is just what happens when the element in an infrared heater (space heater, toaster, etc) gets hot.
Three legs come into the house, two hots and center tap neutral. Either hot to the neutral = 120V. Either hot to the other hot = 240V.
It's a lot easier to accidentally melt a plastic chopping board onto an electric stove than a gas one, and much harder to clean off when you do.