No, this is not a "vague" statement, this is an "absolute" statement, of the type only Sith Lords make.
Pawns only move forward one space, or two unobstructed spaces on their first activation, or capture one space to either forward diagonal. That's game physics.
I'm not really sure how to clarify the confusion here. Some Playgrounders focus on "established" facts. I feel that this ignores the effect that supposedly "unestablished" facts have on the consistency of the world. So, a fact is like an "established fact", except without the necessity of having been perceived as "established".
And (one form of) railroading involves the GM ignoring those rules.
Yes, rails first form in the GM's head, when they want something, without getting explicit buy-in.
Because you are looking at the problem wrong. Or, at the very least, in a way that isn't conducive to seeing the things necessary to have that conversation.
No. If I murder someone, they're just as dead, whether someone finds the body or not, whether someone misses them or not, whether someone cries like a baby or not.
Whether railroading is perceived is utterly irrelevant to whether or not it has occurred.