Thanks, anon – Had never heard of it. Wonder how much "Gulf War Syndrome" was actually Q-Fever? Not saying GWS is not a legitimate thing, just wonder if any overlap there? Here's the CDC link from the page you posted, also: https://www.cdc.gov/qfever/
That is what I would have to guess, too.
Looks like answer is "rarely":
"The only justice to be granted a state funeral by Congress was William Howard Taft, who was chief justice from 1921 to 1930 after serving as president from 1909 to 1913. Taft lay in state at the Capitol rotunda."
https://www.npr.org/sections/thetwo-way/2016/02/16/466938198/in-photos-a-short-history-of-official-funerals-for-supreme-court-justices