Well let's compare...
Physical Strength
Twilight>Wild
Growing up on a farm handling Ordon Goats amoung other things has given him some toughness and even though he has the assistance of the Iron Boots to make him heavier it's still a very impressive feat to be able to wrestle with frikkin Gorons as well as being able to toss then aside like bails of hay. Not to forget his battle against Dangoro being a oversized goron that I wouldn't be surprised weighed at least 2000 lbs given the size of him and the fact that Gorons or known to weigh quite a bit even if human sized. Wild Link on the other hand hasn't shown to have the same physical capabilities to do such things and has to rely on other tools to move heavier objects, such as magnesis or stasis. Not to say he isn't strong since he could send a large moblin flying with a good enough sword strike. But Twilight Link would easily manhandle Wild Link if the situation called for it.
Speed
Wild>Twilight
Although Twilight Link is probably definitively faster when in Wolf form, not so much the case in human form since the fastest he can go is the usual roll spamming, which isn't very practical one on one, overall Wild Link is a lot more nimble with the ability to sprint for a short time. Then there's flurry rush which allows him to quickly dodge an attack and take advantage of his opponents opening with a, well flurry of strikes at high speeds, Twilight Link has shown some agility with some of the Hero's Shade swordskills like the mortal draw, helm splitter and backstrike but it still pales in comparison to Wild Links quickness.
Intelligence
Wild>Twilight
This one was very close to even imo considering both faced a multitude of challenges and riddles. While Twilight Link was faced with greater challenges in the forms of labyrinthian dungeons, Wild Link was faced with a greater number of tests in the forms of shrines, some of which were a lot easier to complete with certain weapons which he may or may not have had access to, in which case the need for improvisation was a necessity. Wild Link is also known to use strategy more effectively being able to take out hordes of enemies without even having to face them in hand to hand combat. It's also worth mentioning that Twilight Link also got a lot of help from Midna who guided him through his journey. Wild Link while did need to be pointed in the right direction from Zelda, Impa and the King for the most part had to figure everything else out on his own.
Dexterity and Swordsmanship
Wild>Twilight
This one I'd say is actually pretty close, since every Link incarnation excels at this aspect fairly well. Twilight Link was trained by Rusl in the art of swordplay, who was also a rather skilled swordsman. On top of that he also learned skills directly from the Hero's Shade. However with all that he was still a rancher handling livestock and only really became a warrior once **** hit the fan. Wild Link was a trained Knight, and has likely gone through training from a young age especially since his father was also known to be a Knight as well. Twilight Link was able to pick up archery pretty easily, but once again Wild Link was an actual trained warrior and likely had training in this field as well. It shows his skills as an archer since he could focus his archery skills to essentially slow down time to get a good lock on his target. Even skilled archers like Teba were impressed with his skills in this area. Occupation is a pretty big determining factor and since Wild Link's job was literally to be a warrior and bodyguard to Zelda herself as opposed to some farmer that wrestles livestock for a living it's pretty clear who's really got the edge.
Weaponry & Items
Wild>Twilight
A tough one since every Link is known to be a jack of all trades with their ability to wield weapons of all kinds that he gathers on his adventures. Twilight Link probably has some unique weapons that will be advantagous in certain specific situations like the double clawshot, ball and chain, spinner, dominion rod, and gale boomerang. Wild Link does have his Sheikah slate and the runes which he uses to manipulate metal objects, freeze time on certain objects including enemies, create a pillar of ice on a water surface and generate bombs. Wild Link however can use a multitude of other weapons such as axes, spears, and even stal enemies arms. Access to fire, ice and electric variants on every weapon type which Twilight Link doesn't have access to. Wild Link's bombs could be remote detonated which means he can place them strategically and detonate when the time is right, where as Twilight Link has to time the correctly in order to use them more efficiently. Wild Link still has the edge in this regard, simply with stasis and it's ability to freeze enemies, which would be OP in this fight since Twilight Link is defenseless (mind you for just a couple seconds but a couple seconds is enough to get the upper hand.
Going over these points I'd say it's pretty clear who wins in most areas. Twilight Link is the stronger of the two, but Wild Link will be more likely to best him since he's faster, smarter, more skilled and has better more advantageous weapons. As far as numbers and odds go it's probably looking to be about a 80/20 ratio in Wild Link's favour.