What style? One pushes down from above, NO BEHIND the movable jaw and the other pulls down from below it.
OK, the devil is always in the details so YMMV, but pushing from roughly the vertical center of the movable jaw is precisely what causes jaw lift in the first place. This is so common on the inexpensive, drill press style vises.
Now, if you add a slope there (at the vertical center of the movable jaw) it will try to push that jaw down. And that will change the action, but just HOW MUCH. It seems to me that it is the screw itself that the downward force on the jaw of the Gerardi style is pushing against. The tip of that screw if being pushed in an upward direction and the threads of the screw must resist that force as well as the forward force due to tightening. Is this good? I don't know. There is the possibility of extra wear on the thread. But, as I said, the devil is in the details.
OTOH, pushing the movable jaw (actually a separate piece) from below changes the fundamental geometry of those drill press style vises. But it does still try to rotate the movable jaw and that will move it's jaw upwards. PULLING it down and pushing forward with a wedge that is roughly at the vertical center of the movable jaw or just a bit below will reduce that rotation and jaw lift. This seems to be the more traditional and more frequently used method. I have two vises that are Kurt clones and it seems to work well. But I suspect even the Kurts and other high end vises with this design still have a bit of jaw lift. Probably on both jaws, not just the movable jaw. And I suspect that the Gerardis also have this problem.
Since both designs seem to apply the force to the movable jaw in roughly the same location and with roughly the same slope method, I do not know if there is any big difference from a design point of view. It would seem that it would be easier to keep the Kurt style clean of chips and that could be an advantage in a working shop. And the screw may wear on the Gerardi more rapidly.
But, as I said, the devil is in the details and you are asking about the general styles. It is entirely possible for the genuine Kurt vs. genuine Gerardi contest to be won one way while a contest with clones may go the other way. Details, details, details!
Gerardi seems to advertise a lot about modularity and accessories. And they seem to have quite a number of accessories. But, from what I can tell, the Kurt style is also quite modular and there are a number of accessories that can be purchased for them. I am not convinced that it is anything more than advertising blunder.
One thing that puzzles me is the Gerardi wedge shaped jaws. They make different models that take either standard(?) rectangular or wedge shaped jaws. But just what is the advantage of the wedge shaped jaw. Other than being more expensive and locking the buyer into just one source for additional jaws?
I could not afford a high end milling vise. What I did buy was not one, but two imports from a good dealer (IMHO)(Shars). They are finished overall to around +/-0.0005" to +/-0.0008" and match each other to that level as well. I can easily do work to +/-0.001" with them and better if I take some care in the set-ups. Perhaps not as good as Kurt or Gerardi, but you can get clones that are good for general work. And the two of them cost just a bit over half what a Kurt would have. I even got a swivel base with one of them.
I am more about what type to get, not exact make and model.
As example I can get:
Buy Modular vice 150/2 mm at the Hoffmann Group eShop: ✓ Personal advice ✓ Exclusive top products
www.hoffmann-group.com
Buy Stationary machine vice 150M at the Hoffmann Group eShop: ✓ Personal advice ✓ Exclusive top products
www.hoffmann-group.com
Roughly same price, roughly same opening, same decent quality brand. Being all basic parameters equal, which is better and why, this is the question I have.