Since we have a bottle opener challenge I've been looking at the different ones I have. Some are good some sucks, and there are a few key points that will decide which it is.
In my crappy illustration I've labeled the three that I think are important.
Number 1 is the hook, to be able to lift up cap lip it needs to do three things. It needs to be long enough to reach under the lip, needs to be thick enough so it won't shear through the lip, and needs to have enough upward angle and defined point so it'll hold the lip instead of slipping. The Gerber clutch has notoriously bad bottle opener because it failed all of these.
Number 2 is the pivot, it needs to have enough contact surface area so it'll actually pivot on the cap instead of dig in. Leatherman's combo tool failed this given its sharp point for the other function.
Number 3 is the fulcrum length. It needs to be long enough so the pivot is near the other edge of the cap, so you are actually lifting the cap instead of folding it 90°. I think it was the fiskars cut+more scissors that bend the cap instead of lifting half of the time.
Victorinox standard cap lifter is regarded as pretty much the best in business, and it excels at all three. Another good one is Leatherman crater knife, even though it works in reverse it still follows this basic principle.

So yeah, that's my Sunday evening random babbling of the week.
