Interesting point. Especially as your teacher sees it as something important.
Three principles we use come to mind here for me. Be with, keep with, stay with. Thus as a person get's better at these he thus stays more and more connected in all ways and thus feels and becomes sensitive to more and more of what's going on.
I bet that your view applies to when you stand and observe two others where one is getting stuck too. Then really you are doing the same thing no? Then if you need more reality you say, o'k, let me feel it and do as you describe.That's my understanding of what you are saying. I've never called it following but looking at it I could say yes, that is following.