"The woman's rise at the end of count one is body rise only while the man's is a true foot rise."
Yes, but this is not relevant to the difference between a man's heel turn and a lady's, as neither has foot rise on the inside of a heel turn.
"Therefore, it is more than a little misleading to claim that "when the lady dances the heel turn both partners rise at the end of one, . . .""
You may feel that it is misleading, but it is factually correct. And by dismissing it you have suffered some confusion about how heel turns work:
"Consider the reverse turn in Fox Trot, for example, where the man's early foot rise assists his partner with her heel turn. The woman's body rise is necessary only to accommodate the man's movement."
This is incorrect. It is the woman's body rise which causes her feet to close over the point of turn, rather than her free leg to swing through. This "stand up to close" is unique to the passive nature of the lady's heel turn. When a man dances a heel turn, he does not have this rise and so his action and his closure are more active.
Essentially, the difference between the rise when the man or lady dances the heel turn reflects the difference between if the heel turn is being danced by the active or the passive party.
Having the man passive on the inside of a heel turn is a bad idea - amongst other things, it results in overturning. Instead, the man stays down until the desired amount of foot turn has been achieved, then rises. In contrast, having the lady passive in her heel turn is a good idea, because it is the man's role to set the direction and timing.
