"Make sure you continue to rise until after you have placed your right foot on three"
This would apply only to the foot closure steps such as the natural turn where "continue to rise on 2 and 3" is noted.
In figures such as the weave from promenade where step 3 is in an open position, the rise continues on 2 but not beyond - 3 is given as "up" with lowering at the end of 3.
In both cases the body gains altitude until it is over the position of the second step, and then begins to loose altitude - but the specific technical definitions used in the book change how the rise and fall is described.
It's important to realize that the boundary between step 2 and step 3 occurs at a different point when step 3 is closed than when its open. When step 3 is closed, step 2 is defined to end and step 3 begin when the foot is halfway closed, so the second half of the closure with it's appropriate rise is considered part of step 3.
In contrast, when step 3 opens, step 2 ends only when the feet pass, so the entire remainder of the movement towards passing over the position of step 2 and passing the feet and the rise associated with this occurs during step 2. In practice, once the feet separate to begin step 3 the body will already begin to loose altitude as the standing leg deviates from the vertical - though only the loss of foot rise towards the end of step 3 is formally described.
(Incidentally, since the duration of a step in the book does not coincide with the duration of a beat of the music, the different boundary criteria between step 2 and step 3 in the closing vs. open case does not necessarily say anything about the amount of musical time you may devote to each action)