You can choose to see it that way if you want. LinkedIn's EULA says otherwise. I have no opinion on whether LinkedIn's EULA is enforceable or legal, I'm only sharing the facts, and the facts are that according to LinkedIn's EULA, visitors do fall under the agreement.
You seem really hung up on what their EULA says, and I'm not clear on why. The question at hand is whether their EULA applies, so whatever is in it is 100% irrelevant to that question, right?