This is a theoretical fight if 2 players could PVP eachother, each using a diffrent link. Here are my oppinions - feel free to add your own.
OOT link VS TP link:
I think both would have advantages. OOT link could barage TP link with light arrows, and without a mirror shield they would be undeflectable. TP link in turn would have some awesome sword combos which he could use to grind down OOT link to dust. TP link could use bomb arrows to knock down OOT link and slug him with the ball and chain as well, for some massive damage. OOT link can use nyarus love to cancel out damage, and TP one can use magic armor. I think finally OOT link would win if he could get close to TP link, with the sheer power of the biggoron sword, which would most likely mash away 2 hearts a swing.
MM link VS TWW link:
Tough one, and depends on the landscape. If it was at sea, MM link would win no contest - his zora form could swim around the boat undersea, than lunging out with the shockwave barrier attack and knock TWW link over, than kill him in the water, where he would be defenseless. On open land, it would most likely be TWW link because of the awesome power of TWW light arrows. Being able to destroy a darknut in one blow, they most likely smite for at least 4-5 hearts.
As goron link MM link could stand a chance though, rolling at a speed too high to get aimed at, knocking link over than bashing him to death with his powerfull fists. Also, if goron link managed to toss a powder keg at TWW link, it would do massive damage. It all depends on if normal link could interrupt the goron roll and bombard the goron with light arrows. If TWW link could aim well enough to crash a light arrow against the goron before he rolled to spike speed, the contest would be over.
TWW link against TP link
TP link would have to turn into a wolf and latch on and bite as much as possible, or manage to tactically deploy bomb arrows so TWW link couldn't get up well and aim his lethal light arrows. Another option would be to use the magic armor quickly each time he shot a light arrow, mitigating the damage and draining the mana. If TWW link would run out of mana it would be game over - TP has far superior swordplay and could easily get trough TWW's small shield before TWW could even retaliate.
Also, getting on epona and evading the powerfull light arrows might also be an option. Depleting light arrow power is what you want here.
MM link against TP link:
Tricky as hell, goron link could dominate hyrule field, circling TP link in large circles and using hit and run tactics. Also, while MM light arrows don't have the raw power of the TWW ones, they could still be very powerfull if it came down to a slugfest longrange, because TP links lack of magical, extreme damage arrows would give him a huge disadvantage. Close range, TP link would anihilate MM link, even fierce diety form. Ball and chain, if used well (right at the moment when goron link charges towards you), could knock him out of roll, doing massive damage and exposing him to TP links superior sword attacks. The gorons punches aren't able to match the DPS of TP links sword attacks, nor links ability to crush the goron by stunning him with the wind boomerang, than jump slashing him...