It's not though? If your goal is to avoid having your every move online tracked by companies hoping to earn money from spying on you, what Stallman does is one of the few strategies which work.
You can take various actions to improve your privacy. At some point it becomes a paranoia. If you are fetching web pages on a remote server and email stuff to yourself then I would say it is becoming paranoia.
And I would say what Stallman does probably gives him a very unique fingerprint (wget ting web pages from a unique server). I doubt he is doing that for privacy.
Well the fact that he uses WGET on a remote server means that its a static ip in a DC most probably. Which means its allot easier to track him.
Also considering the amount of pages i go through i would rather have no internet then have to wait for a email for ever page i want to use. Then also half the pages wont work because of no JS.
I don't think paranoid is the right word, since it implies some kind of (usually unfounded) fear. I don't get the impression that Stallman is actually afraid of anything in particular; he's just doing this to thwart what he thinks are bad practices. So I'd call it extreme, but not paranoid.