RX100 M2 flimsy LCD screen
I don't think it's any "flimsier" than any other tilt screen on a similar size camera. Mine has had no problems. It will be happier, and so will you, if you swing the top down first.
The screens that really give me worries are the fully articulated screens, but I haven't broken one of those yet, either, and very few other people seem to have.