Only if they have fixed wiring, or specially wired sockets with the according plugs going into them. I should know, because I had my house partially remodeled, including ripping gas pipes out of living-, kitchen-, and bathing rooms. To be replaced by that.

That may be different for professional gastronomic equipment, but I have no experience with that. I think a pizza-oven or larger cooking range could have some sort of thick CEE-plug/coupling like you sometimes see on construction sites.

In Germany that fixed wiring for stoves was/is at 380/400Volts.

Since this was about a Wok initially, I assumed mobility and no fixed installation.

Why this matters in daily life(If you don't want to have gas anymore), everything takes longer to heat(with standard mains electricity), even boiling water for brewing coffee or tea in the US.

Leading to such strange contraptions like induction cooking tops with integrated Liion-battery, to at least be able to compensate for a while for the lack of oomph.

This isn't necessary, or the case in Germany.