Okay, time for some parade-raining.
First of all, the UA description(and/or in-game effect) is off.
The UA suggests that you get a worker when you settle a city, this doesn't seem to be correct.
The UA also claims to give you one extra yield(of their usual one) from specialists, scaling with era. Ingame this seems to give all specialists +2 production, which isn't necessarily bad but it seems kinda conflicting with the description. It also seems kinda conflicting with what we discussed earlier.
The +1 pop seems to work as suggested, but I've not had a chance to settle a city outside of the ancient/classical era yet.
The unique unit seems fine
EDIT: Actually, the unique unit obsoletes on the wrong tech. CBP unique units obsolete at the same time as it's upgrade unit obsoletes, in the case of a swordsman it should not obsolete when you gain access to the longsword(steel), but when you get access to the Tercio(Gunpowder). A CBP quirk, kinda, but it is relevant.
The unique building is really hard to judge, there are some quite clear problems with it at the moment. For example in my first city constructing a lot of your listed choices didn't exist, while some of your in-progress ones seemed to exist.
I ended up picking Enmerkar, Legendary Builder of Ur / God of Wonder, which did absolutely nothing (as far as I can tell)

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Problem number two, you have absolutely no idea what the patron gods actually do, the choice menu just lists their name (twice) I had to tab in and out and read your message in this thread to try and figure it out.
Problem number three, if two cities finish a ziggurat the same turn, you only get one choice for a patron god which affects both cities.
It would probably also be helpful if the selection-screen also stated which city you're picking for (as that can get confusing and you're not allowed to close the selection-screen)