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Re:Show HN: Shishua – Fast pseudo-random generator by KMag on Saturday April 18, 2020 @11:44PM (#22913336)
CSRNGs are mentioned a few times in TFA, but cryptographic security doesn't appear to be among the design criteria for SHISHUA. There's no mention of linear or differential crpytanalisis, which is table stakes for a CSPRNG.
Re:Show HN: Shishua – Fast pseudo-random generator by espadrine on Sunday April 19, 2020 @02:50AM (#22914078)
I added a warning in the GitHub’s Readme. SHISHUA is not to be used for cryptographic purposes.

You mentioned the lack of cryptanalysis; there is also the lack of rounds (which prevents researchers from breaking partial versions to ease their study, and allows setting a security margin).