That is a great technical question! Thank you for persisting in asking.
So, Joe's point is that it is impossible to pre-rotate your skating foot on a Lutz because it is curving the wrong way.
But can you rotate on your toe-pick after your skating foot has left the ice? Sort of a pirouette on the tip of your picking foot on the way up?
Oh, I think I finally get this. But that must be a VERY difficult habit to kick! Once you get very used to jumping that way ...