Does "lessening the profile" mean letting air out of the kite?
I don't think that's a good idea.
Flip the kite, lay on the LE with legs extended down the center strut and overhand swim back in. Not so commonly known as the Offshore/ Upwind method. (it works in offshore winds or going back upwind to get your board)
Here's a pic:
http://kiteboardingtampabay.com/inde...111&Itemid=101