Without the full nodes rejecting the non signaling segwit blocks, the miner would not have decided to forked. Without him forking, the market would not be able to determine the outcome.
So essentially......
Is the full nodes "influencing" some miners to do something they weren't going to do, i.e. to fork, which brings about the situation of the market deciding the outcome them having power or not. And if you say it isn't, why do you not define it as such. Nothing else in your response had anything to do with this question nor has any bearing on an answer to that question.