"Anonymous. Go right back to the Basics.The man has foot rise the lady has no foot rise."
Actually, I think that you will find that in the REVERSE WAVE it is the lady who has foot rise, wheras the man has a number of steps with no foot rise. True, he doesn't have no foot rise on the middle steps, wheras the lady would in a feather or three step, but then his heel is lower than hers.
"At the same time that the man is rising the lady isn't."
That is where you are mistaken. No foot rise does not mean "no rise" it means no RISE IN THE FEET. But there is still rise. Remember, there isn't that much rise in the forward foxtrot actions either. It's not like one partner is down the other is up - they still rise and fall together, it's just that the lady rolls through her heels on almost all backwards steps, as does the man on quite a few backwards steps.
"It goes even further than that, and that is, if this was a Natural in the Waltz, the lady keeps her weight and shape over the LF untill the man has passed then she follows him up."
Not entirely over the foot except for beginners - advanced dancers will already be progressing some by projecting the body into a swing. But yes, she should let him get a little bit past her and then catch up. Remember, unlike the feather step the natural turn is a TURNING FIGURE so passing the partner is appropriate.
"The lady doesn't swing."
She sure as heck does if she is any good. It's just that the swing on the inside of the turn is different, and so a beginner like you is forgiven for thinking it doesn't exist.
"No two people swing at the same time."
Usually however, if one partner swings on a step the other partner will also have a swing during that step.
"You would know this from the V. Waltz. If she did she would arrive first having the shorter distance to travel, and take the man's centre from him. Then you would be several inches out. On the Spin Turn she will be a few more. Now you will spend the next few bars trying to get back to a balanced position."
Spin turn in the viennese waltz? I don't think so...