Gilo, yes, I always tighten mine down, but I also tie my trap wires off to two trees, one on each side of the boat, which probably keeps the mast from vibrating much in any wind up to 30+ knots. The trees help diminsh the wind on the mast as well.
But out in the open, I would try to put the boat into the wind first, then tie it down, then secure the mast rotator to keep it from flopping around.