I would say something doesn't look right about what is happening with your trigger bar. There shouldn't be a gap between it and the frame. Looks like something is out of spec in there, with the trigger bar, disconnector, or hammer pin. Or else it wasn't assembled correctly between the hammer pin, disconnector, and trigger bar. The disconnector should ride in a groove on the hammer pin and rotate forward, down over the top of the rear end of the trigger bar. When you have the frame detail stripped, you can test and see the range of motion on these parts, without the hammer spring in the frame, as long as you have the trigger bar spring in place.
That answer you got from CZ-USA doesn't sound right either. It is indeed hard to believe they would say that.
You say you just picked this pistol up, new in the box?