Do practically all modern push feeders use a square breech?
Square breech? Ejection port or actual barrel breech? Oval or rounded rectangles make the most sense for ejection ports, so there isn’t usually much deviation from there.
Any differences in anti-binding? Are they all jiggly bolts, or are some better than others?
Different brands will have different tolerances, some better than others. Custom actions are typically tighter than any factory action.
As for the Weatherby 6 and 9 lug boltheads, they’re really not so different than other 60* 3 lug actions, but with two or three rows (respectively) of smaller lugs, instead of 3 thicker lugs. The Seekins Havak is similar in that it has 4 lugs, two rows of two lugs on opposite sides from each other - so effectively just another 90* bolt-throw action (albeit their lugs are rotated differently than conventional Rem pattern lugs. I remain undecided about multilug designs. They obviously work, but truing and lapping the multiple rows of lugs just doesn’t feel as reliable as doing so with conventional lug designs.
I played a bit with a GAP Tempest last season and was very close to converting over to have two of them built for match rifles - the 60* throw is FAST.
There are applications where a controlled round feed is an advantage, and applications where it’s a distinct disadvantage. I’ve shot Ruger M77 MkII/Hawkeye and Win 70 actions for my entire life, and played a bit with a Bighorn TL3 last season also - it’s just not as easy to drop a round into the port in a hurry, they’ll close, but they really don’t want to feed as well as a push feeder would. Alternatively, folks always talk about running their bolt upside down with a lion on your chest and needing a CRF. It’s a heck of a lot faster to empty a CRF blind mag than a push feeder, and they don’t require the risk of ND because you don’t have to actually chamber the rounds. Horses for courses.
I’m not sure I think a push feeder HAS TO HAVE a plunger ejector, and could run either a fixed or mechanical ejector, but it’s sure a lot cheaper to use plungers in the boltface. Since most are just copies of the Rem action, most use plunger type ejectors.
There really are too many differences between different brands and models to say the feeding paradigm is a deciding factor. Floating bolt head vs. one pc bolt, three lug vs. 2, barrel nut vs. shouldered barrel, polymer stock vs. wood, integral rail vs. bolt on, integral recoil lug vs. pancaked, blued vs. stainless, barrel length, muzzle threading, magazine type, brand reputation.... other than Defiance Deviants which offer both push feed and controlled round feed, I’m not sure there’s any other two actions out there where you can set the exact same features side by side, only differing in feeding type. So you’re choosing between a total package, not just the feeding type.