That looks correct, more or less. You each picked slightly different models in the calculator, and metric vs imperial units.
The Sentinel Black facial recognition software wants a face to be at least 100 pixels so 38 pixels per foot is very much lacking. I think even a 25x PTZ would not be sufficient. Maybe like 45x...
Due to the angle the Z12 is mounted on the pole, I couldnt zoom to the 500ft mark (150meters) but you see clearly at 309ft, there is no way you can use this cam for ID at those distances. This image is at the same 80% zoom
Here is the video clip of me trying to get it to focus at 100% zoom at 309ft. Nothing I could do would get it to focus at 100% zoom.
Only when I switched back to B&W and used "Auto Focus" a couple of times did it finally focus back at 80% zoom. Seems that anything beyond 80% zoom and this camera doesnt want to focus. Ive seen others on the forum with the same problem.