The ability to take hits. So, therefore I think the weaker Links would be knocked out here (OoT young Link, OoT Adult Link, WW/PH Link, OoX Link ETC)
Um, hey, we've been over this. None of the Links are actually physically weak. They all perform feats of strength impossible for a normal person, and their heart containers let them take more hits than your average mountain without falling. It really all depends on who can deal with a large melee, and who is the least affected by small strikes. LttP and most of the handhelds are pushed back when hit, whereas most 3D Links can take a hit and keep running. Little projectiles like the seed shooter or boomerang could be disastrous for the more fragile ones.
WW Link is not phyically weak- he in fact takes less damage from foes than almost any 2D Link, and even without power bracelets can lift stuff some other Links can't. He cuts down multiple trees with a single swipe, even. He also has a fighting style more likely to protect him (and his potion reserve) through the initial rounds. Anyway, MC Link has great balance. So, um, yeah. There's no reason to think other Links would necessarily be able to do it without getting dizzy, and WW Link has been proven to be able to take serious punishment. He gets catapulted against the stone wall of a giant fortress from half a mile away, falls off said wall, and comes out completely unscathed.