You guys are making a mountain out of a mole hill. All this talk of orbits at a little tiny airport in a little tiny airplane are more work than making an orbit of the earth in a spacecraft.
When we teach people to fly here, we include such things as turns about a point (u guys might call it an orbit), S turns along a road (which can be used in a traffic pattern to space traffic out) and other maneuvers.
I wouldn't solo someone who couldn't do a 360 on downwind, or S turns on final. I also make darn sure they would know what to do if the airport runway was blocked immediately after the student's takeoff.
I've done S turns or 360's in pipers to jets and you know what? They are all the same. Safe airspeed, bank angle at a conservative degree and keep your head moving and your mind moving.
Two planes, little airport, radios working and all this fuss.