May I suggest that your confusion comes from a conflation between facts and generalizations. Hard facts exist in strictly defined contexts. Relax the context, and you need to eventually reach for generalizations that less precise and potentially ambiguous.
If somebidy asked me whether the cup in you hand would fall and and shatter when they release it from their grip, my answer would of course depend on a few things I pick up from the context: what gravitational attraction would the cup experience in your current location? What material is the cup made of (porcelain, metal...)? So if we're standing on earth and the cup was made of porcelain, I'd answer that it would fall and likely shatter. Doesn't mean that any cup would shatter. Metal cups doesn't. But that's a different fact. So there is no generalized fact that all cups shatter when they fall. Some do, some don't. We can play the same game with gravity. The cup wouldn't fall if we were floating on the ISS. So the same cup doesn't fall in all locations it might conceivably be.
Many people don't want to deal with the level of precision that hard facts require. They get sloppy and then start these endless discussions of "this isn't true because..." etc. and everyone gets gradually more confused because nothing seems to be entirely true or false. The fundamental counter here is to dig in and tease the generalizations apart until they become sets of constrained hard facts.