I assume that it's not a great idea to move from a hanging strop to a paddle for daily stropping without taking the razor back to the stones. The slack in a hanging stop will ever so slightly round the edge and then my theory is that the paddle strop will not be able to touch the very edge of the blade.

Any thoughts on this?

It could be that the rounding is so slight the give in the leather paddle will make the leather shape around to hit the edge. Seems sensible to stick with one type of stop for each razor, or move from a paddle to a hanging strop then back to the stones.