All my barrels head-space on threads and my Savage uses a NUT. I get pretty close with those.
Barrel insertion into the receiver is, by definition, head space adjustment on a CZ. You sink it deeper you get less head space. I didn't press my barrels into the correct depth as when I started off I wanted to "tap" the barrel into a starting posit before I applied the hydraulic press. I tapped it with a rubber dead-drop hammer and the barrel went in as if by magic. Little by little, and relatively gently, the barrel approached contact with the Bolt with the with the Go Gauge installed. Finally a sharp click from the barrel/receiver and precise head-space was achieved. The No-Go Gauge left the carrier sitting 3/8 inch away from the sight block. Perfect. That was the only one of the three that went that smooth but the other two just sank the barrel a little to far. Maybe to the No-Go depth. A couple sharp raps on the carrier with a brass hammer brought all into precise alignment. The key to doing this was to get the barrel stub turned down to the receiver hole diameter PLUS .5 thou interference fit. Make sure you measure the stub thickness at many points and an inside micrometer is a good idea for the receiver. I "reamed" out my receiver with a shotgun brush loaded with bore cleaning compound so all that "treatment" got removed and the inside polished. Use lots of grease.
Never did use that hydraulic press.