Oh...I see it here
http://www.catsailor.com/bb_files/87473-EZstepper002.jpgYeah, that's a problem. With the mast down, the trap lines should still firmly stabilize it to keep it from swinging side to side. It looks like your mast can swing a bit and could make a pretty dramatic swoop to one side once it comes off the fork. You should find a way to attach the trap lines in a straight line and tight to the main beam somewhere - further outboard is better but not absolutely necessary.
