Someone took me on on this subject after the MH17. If you have any doubt about which falls faster, get a basketball filled with concrete and a balloon the same size and roll them off a tabletop with your feet below. (Do this at home, not in a vacuum satellite testing silo with Brian Cox, nor on Mare Ibrium with David Scott).
But this is a digression from the real task at hand. I posted it as it does show that there are a lot of poor analogies, mistaken arguments and confused points scattered through this thread (not directed in particular about the poster above whom I quoted).
We've had standard turns in uniform parcels of air mixed with zoom climbing turns, windshear, non uniform air movement, gradient winds.
People talking about frames of reference, maybe, but its the terms of reference of the question that need clarifying before any answer.
You can't disprove the downwind turn theory (or lack of) in a uniform parcel of air by using examples of climbing turns in gradient wind.