Hello!

Currently in the Insiders v2.5 

The Nyx can place manufacturing districts after unlocking the Materials tech

The Yor can place manufacturing districts after the Computational Core (homeworld capital) improvement is built or the Core World Capital on other colonies

This change is a way to encourage players to build their capital improvements first before developing the rest of the planet

When you say "basic Manufacturing tile" you mean the Manufacturing District right ?

Just testing it now in a brand new Yor game, placing down the Computational Core and rush building it does enable the Manufacturing District to be built. So wondering if you are referring something else ?

Please note that I am playing Synthetic and I built a Computational Core (partly visible under the vapor mines desc) yet I can not build a manufacturing district on the empty hex.

Now this is really strange then. I just created a new Synthetic/Artificial specie and started a new game with it. Placing down the Computational Core gave me access to the Manufacturing District right away.

Edit: Alright looks I found the issue. If you rush build the Computational Core on the first turn you get access to the manufacturing district. On the other hand if you let it build naturally after a few turns you do not get the district. So there's a trigger bug when you don't rush build it on the first turn. I'll forward it along.