Your oven is miraculous compared to every fixed oven I've ever had access to.
At any rate we're talking about toast here and an oven broiler only has one setting (usually): all the way on, so you're using as much energy as it takes to brown a steak just to crisp up a bit of bread.
It's not really about heating up the air, anyways, toasters and broilers mostly directly heat things. A toaster (or toaster oven or countertop convection) just has the elements closer so can direct more energy into the bread and less to.. everything else.
At any rate we're talking about toast here and an oven broiler only has one setting (usually): all the way on, so you're using as much energy as it takes to brown a steak just to crisp up a bit of bread.
It's not really about heating up the air, anyways, toasters and broilers mostly directly heat things. A toaster (or toaster oven or countertop convection) just has the elements closer so can direct more energy into the bread and less to.. everything else.