I just eyeballed my windshield and my gasket doesn't have any flaps visible!! I'm almost certain that the first one I got had the flaps but it was improperly installed. I didn't pull the trim piece off the bottom but if there were flaps on the second gasket I purchased it would have covered them up.
Sorry I can't give you a more definite answer. Just be glad you don't have the ss trim......it's a real bear to get into place and laying flat!
Dave