A wok? The raised sides of the wok are not supposed to get too warm. That is actually the “secret” of the pan. You have very centralized heat in the middle and you move things to the edges to just keep them warm while you cook the new ingredients through in the center/bottom.

How much of a gradient does indeed depend on your heat source. The propane tornado of horror in my backyard makes the center ridiculously hot but the edges are no slouch. A campfire is going to be a lesser and more controlled version of that. A smaller gas burner or an induction burner is mostly going to just heat up the center a lot.

But that is also why you let the wok come to temperature, same as any pan. ALL heat sources have hot spots. Some bits of wood burn hotter than other. The actual flame jets from your gas stove are hotter than the ceramic bit on top. Even the flamenado has hot and less hot spots. Hence why you always agitate food. Or, in the case of going for a sear and not understanding why restaraunt chefs insist you only flip once, you rotate/move the pan itself.