Original Edge or LoPro Edge are SUPERIOR to OFR and Schaller. They are Gotoh MIJ afaik. Extremely well made and an improvement on the design.
Most modern Edge#s are licensed contract built stuff from other countries and can be considered the Ibanez answer to Floyd Special and Floyd Licensed
I have extensive experience with all of them.
From a players perspective, the Edge/Lo Pro bar is a bit longer and has a smoother action, easier to get a mild trem, but its also easy to completely drop all the strings. On the converse of this, the shorter OFR bar is easier to grab and is in a better position for my hand.
The Edge/Lo Pro push in bar design is horrible. After a couple weeks the bar always goes loose and you need to replace the shims or remove and shim the insides so they push out further. The screw in collar design of the FR means you can choose what tension you want. Tight, wont move at all, or will hang loose.
The Edge/Lo Pro posts have a locking insert, but also the threads are much larger so the posts have much more play when unlocked. IOW, they need the locks. The FR posts have really tight threads and dont need to lock.
All of the Edge/Lo Pro trems can easily clear the body and be removed when the springs are removed. On FR, usually also have to loosen the strings to get the FR to clear the body. This might be an issue of how they do the route.
FR parts are interchangeable, more affordable and easier to get.
I like the flat base plate of a FR trem in a recessed route. Its really sharp looking when the base plate is parallel with the body. Ibanez trem base is angled and never looks quite as well integrated.
In summary, I would say the action of the Ibanez Edge trems are slightly better, but availability and price of parts makes FR and variants better. They can all stay in perfect tune. Some of the supposed advantages of the Edge is completely offset by the shitty push in bar design.
Ibanez usually only puts these trems on Japanese guitars, which means they are harder to get. You want to avoid their lower priced trems. Floyds are available in guitars that cost much less. The FR special can be swapped with an OFR if you want to upgrade. Ibanez trems are not interchangeable.
I prefer FR for these reasons.