Anonymous. When you wrote. Of course it's toe to toe you obviously agree that there is rise at the end of the first step. Which is as the book says.
But look around you and you will see dancers coming off a flat foot and not rising untill the second step is in place. Which means the rise being used is more akin to the ladies rise in the Waltz between step one and two of a Natural.
If you go to Marcus Hilton on youtube and pay particular attention to the cleaness between the first and the second step on all of his movements which require the lady to do a Heel Turn.Do you see the absence of Sway leading into the steps. No Swaying on step one which would spoil the picture.
While we are at it Ladies. Are we Swaying too early on our Heel Turns. The Technique is to Sway on step two which should take the weight off that foot and make the Heel Turn singular instead of Heels Turn which is plural.How many times do we see both toes off the floor on a Heel Turn. Very wrong.