In the waltz technique thread it was claimed that it is unnatural for a heel lead not to commence rise. This however is not true - it is important to understand that while there may be frequent correlation between footwork and rise, there isn't a reliably absolute relationship as heel leads come in both rising and non-rising versions.

First we must consider the case of steps which are H or heels that do not role through to toe until late. These steps do not have foot rise and will be followed by an additional heel step which is HT and does rise. The man does this going into a three step, and the lady in the comparable place in a reverse wave.

But even HT footwork need not imply rise - see for example the lady in the closed impetus, found not only in foxtrot but also in waltz. In this case her next step is a T, beginning low and featuring the rise at the completion of turn.

The intention to rise or not should certainly be reflected in the execution of the footwork, but it is not quite predicted by the footwork code - HT often features rise, but not always.

Waltz. Commence to rise at the end of step one
Foxtrot. Rise at the end of step one. In both cases the heel will become a toe.
NFT ( no foot rise ) for the lady on step one in the Waltz ( she is stepping backwards ) This one ia an entirely different action and needs to be taught by a competent instructor. Failure to do this correct will have the lady arriving before the man on step two he, has the furthest distance to travel, if this is the first three of a Natural Turn.