And yet, there is now evidence that filaments of galaxies do rotate:

Largest structures in the universe show clear light-shifted signal of rotation

Something must be responsible for that angular momentum, as the authors of that paper point out, but:

…it is not known whether the current understanding of structure formation predicts that filaments themselves, being uncollapsed quasi-linear objects, should spin.

So, perhaps Gödel wasn’t as wrong as you propose in this article.