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Where is the entropy going?

This still has all eight bytes, from the generated UUID, and looks like it can be converted back into a UUID.

yes, I will add an inversion, it's a bijection

The space of all uuids is larger than the space of all shakespearean uuids. So by definition you can't biject them. You may be able to on able for your subset of uuids in your project, but there is less entropy when using the latter.

edit: It seems the shakespearean uuids are longer than uuids so I may be conpletely wrong

I skimmed the code and it looks like there’s a hole for every pigeon. Space size appears to be equal.

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