Yes. They both come as a result of a lady's free leg, which should be free from the hip (or above the hip) down. The difference in the lead lies in the upper body.
I don't understand your answer.. You answer "yes" to Dave's question of "is it the same movement?" but then go on to say that there is a difference in the upper body in the lead? (which implies it isn't the same movement for the leader to do one or the other) Maybe the heat here is making it hard for me to figure out what you are saying.
You also seem to be ignoring the followers who have responded as to why their leg isn't free from the hip for this move and why it's a matter of personal preference whether the boleo involves the thigh (as in the "attitude" position described by myself and Bastet as something we've seen) or happens from the knee down as quite a few of us do it.
There is no "should" that dictates which style is correct. It really does come down to the follower's style, flexibility, and preference.