You seem to be of the opinion that SR is unusable in any experiment with any gravitational field. In the limit of a weak field, GR reduces to SR, so SR can be a good approximation.
You are repeating the same error posted by Undefined
I don't know mathematically what the condition is for a "weak field"; if you have a formula, I'd appreciate seeing it. But intuitively, a rod falling under earth's gravity for a few feet seems pretty weak compared to the near-c velocity of the train that makes the problem relativistic in the first place.
Of course, if you actually had a good solution using GR that didn't match the SR solution, that would be a compelling argument. But the only GR solution proposed so far (Thomas precession) was shot down in post 151.
You are under a very severe delusion that your post 151 proves anything.