That looks like a perfectly good wok. Have you seen a two piece wok with one piece that fits over the burner and cradles the wok?
I am an apt dweller; this is one of the worst stoves that I have ever cooked on. One of the front burners is set extremely high and is twice the flame of the others. I think it was made for a wok.
I generally set my wok over medium heat and let it heat (30-45 min) while I prepare the ingredients. Once I'm ready with everything, up goes the heat for 5-10 minutes. (sometimes just 2 min). Sesame is one of my favorites and I think that I will try the oil.
I'm glad you reminded me of that smoke. I usually close off the bedroom doors; but I've got a little dog that is terrified of smoke. I'll give her a fan!
(and that also being her name).
What is one of your favorite wok recipes?