Wow, quite some confusion here around, but this orbiting thing starts to fear me. When at a controlled airport, tower may ask to do a 360, yes, but usually before entering traffic pattern at beloved holding pattern location, or if something goes wrong and they don't see an issue on downwind, BUT neither ever orbit on base, nor final, nor at an uncontrolled airfield - Jesus, that is simply one thing, dangerous! I never heard of a control tower suggesting orbit in final, you are LOW and the options are landing or go around.
I kind of remember that "orbit" usually involves a 2 minute standard 360, as we all learned in training and frequently train, don't we?