I really liked your analysis, but offer the following.

If we fly coordinated -- that is, use the rudder to keep the ball
centered our degrees of freedom are ailerons to control rate of bank,
elevators to control pitch (pulling the nose up, or pushing it down)
and throttle/flaps to control acceleration/deceleration.

Someone pointed out if the airplane was allowed to accelerate downward
at 1 G, the 1 G roll could be accomplished by simply pulling back on
the yoke hard enough to cause 1 G acceleration in the pitch direction
while a coordinated roll was flown. This is different than a constant
velocity model, but also works.

Thanks for crunching the numbers!