You asked-: "If you set up like that with hips at fix and don't move your hip forward in downswing, how are you going to get your straight line delivery path?"
The answer - like Aaron Baddeley. Note that Badds, like other S&T golfers, has very little left-lateral pelvic shift in the early downswing. It is more of a hip bump - as one replants weight on the left foot. He still has a straight section at the start of his hand delivery path. However, it is not as pronounced as Hogan's straight section - possibly because Hogan had more hip slide in his early downswing. Badds hand arc is more rounded than Hogan's and predisposes to a slower random release.
I used to set up with my pelvis centralised at address, and I then acquired secondary axis tilt at address by tilting my upper torso, which caused my head to move behind the center of the stance. I now prefer Yoda's recommendation for my iron shots, where he recommends keeping the head centralised and then shifting the pelvis left laterally to acquire a rightwards tilted spine. I still perform that pelvic shift action action when setting up for a driver. However, I anticipate the need for more secondary axis tilt with a driver at impact, so I allow my head to be positioned slightly right-of-center at address by having more rightwards tilt at address.
I have noted that many professional golfers prefer to have their pelvis centralised at address, and they therefore have their head further back when using a driver - sometimes closer to the right foot than to the center of the stance. They will presumably have a slightly different "straightish" section in their 10-23-A hand delivery path as a consequence of that choice. I have no "evidence" that their choice is biomechanically disadvantageous. Tiger Woods and Ben Hogan play superlative golf using that address position style for their driver shots.
Hybrid Mode
