my understanding is that the differences are down to the nosepiece, the SLR version has two pins to locate the nosepiece and prevent rotation in sleeve on the housing. On the mirrorless version there is a flat machined so there is a D-shaped section that locates at the outside end of the housing sleeve to prevent rotation. You could previously buy the nosepiece separately but you would need to check if that were still possible. Note that the viewfinders don't rotate inside the sleeve they are installed in - they have a rotation mechanism that is built into the viewfinder body.
As far as which one you need, you can easily check if you have the housing in hand by referring to the viewfinder instructions you can see the difference in the shape of the two different viewfinder sleeves: 32201 32203 32204 32205 Instruction manual for viewfinders.pdf - Google Drive
If you look at Nauticam's webpage for the Z9 housing you will see they list the 32201 viewfinder as compatible as well as the newer 32211 and 32212 viewfinders. The 33201 is the DSLR style nosepiece version.
There are a lot of mirrorless housing that take the DSLR style viewfinders, it is mainly the smaller housings for m43 etc that take the mirrorless style viewfinders and you need to look up the correct version for your housing.
I expect that you should be able to install your existing viewfinder into your Z9 housing with no trouble.