Yes. If you shoot HD and downconvert correctly (to the correct format), you wind up with color resolution much better than 4:1:1, which is what you’d get if you shot DV25 mode on the F350.
The act of resizing a 1080p frame down in software (if done with care), nets a frame with much less compression artifacts and better color res.
The downside of course being that it’s a pain in the butt to do all this