***** NOT A TEACHER *****
(1) Ever since you posted your question, I have been paying closer
attention to what I read.
(2) I think it is accurate to say that most Americans do prefer
train station.
(3) Of course, most Americans no longer ride trains. And most
younger Americans have never ridden one between cities. The closest
they have come to a "train" is the subway or the light rail (trolleys) in a
a few American cities. The automobile is the king here.
If this American was forced to ride a train, I'd probably go to a "train station."