Officially (i.e. in schools teaching stenography, back in the day) it was long ago replaced by "unified German shorthand" (Deutsche Einheitskurzschrift IIRC), but he always considered Gabelsberger to be superior.
Well, maybe he too was one of the 6 people in the world who could read it (or yes, maybe that was hyperbole, I'm not sure) :D
The question the public wondered about the most was the loophole Gödel claimed to have found in the US Constitution, but they didn't find anything about that.[1]
There's a cool suspense novel "The God Proof" about finding a lost Gödel notebook extending Gödel's ontological "proof" of the existence of God.[2]
0. John Dawson (a logician) and his wife whose name I think is Cheryl (not sure). John Dawson later wrote the Gödel biography "Logical Dilemmas".
1. https://en.wikipedia.org/wiki/G%C3%B6del%27s_loophole
2. https://jeffreykegler.github.io/personal/gp/God_Proof.pdf