We risk pattern-matching to this stereotype in any case

I can't see how you could structure LW in a way that someone who wants to talk about LW as a bunch of nerds can't do so. You don't need a statistic about the average IQ of LW to do so. Gathering the IQ data doesn't bring up anything that wasn't there before.

The basilisk episode is a lot more useful if you want to argue that LW is a group of out of touch nerds. See rationalwiki.