You actually shot it at an EI of 200, and that difference of terminology is actually the crux of the matter.
You have a visual style that under-exposing and push processing is suitable for.
So that is what you have done, as shown in this and many other good examples you have posted. Each of those reveal exposures with reduced shadow detail and enhanced mid-tone contrast (from push processing), which appear to be the type of results you and many others prefer.
And you choose subjects and expose them in a way that takes advantage of the film used in that way.
For what you do, using the film this way suits your needs very well.
But the EI of 200 (or the 320 in the name) is a special use of a film that appears to have a much lower native light ("ISO") sensitivity, using the sort of tests that film manufacturers and marketers normally use to help customers compare products offered.
If this film was marketed as a low-mid speed (ISO 50?), fine grain film that also offered really good results when shot at EI 200 or higher when push developed, that would have been excellent and far more honest. That would be similar to how the Ilford and Kodak "3200" badged films are designed and bdged and marketed.
If CatLabs had chosen to describe the film that way, it would have been honest, while still highlighting a particular advantage of the film. And there would have been no controversy in this thread.