There are many decks both characters use but you've stated that Kaibe is using his Blue-Eyes Ultimate deck and Zane is using his Cyber-End Dragon deck. I'm going to pick their decks that have these monsters but have the best Win/Loss Ratio in the Anime.
For starters I would say Zane has the advantage, his cards are more advanced than the ones Kaiba uses. Zane is shown to have the card "Power Born" which doubles the attack of any Machine-Fusion Monster. Also, Zane tends to rely more on his backrow, having a wide arrange of Spells and Traps with little monster count. Most of the spells and Traps Zane has are to help him bring out his Signature Card: Cyber End Dragon or his 2nd best card: Cyber Twin Dragon. If Zane manages to get a Cyber End Dragon out with Power Bond that will be big trouble, but don't forget he also has the Limiter Removal. That makes it's monster have 16000 Attack points, more than anything Kaiba can ever pull out with ANY combination from his cards. Not to mention Zane's deck only has Effect monsters which will all help him bring out his Signature Card sooner.
Kaiba on the other hand is dragged down by the fact that he uses Normal Monsters, large part of his monsters are all Normal with a little bit of them being Effect monsters, among those the most used ones would be Thunder Dragon and Obelisk BUT Kaiba also has a great variety of Spells ALSO made to bring out his Heavy Hitters with ease but at the cost of many potential Trap cards. At the end of the duel i would not be surprised to see Zane with his Cyber End Dragon out and Kaiba with either his Ultimate Blue-Eyes or Obelisk the Tormentor.
Another thing you have to take into consideration is that most duels are based on luck and the cards you draw. Either one of them could easily lose the duel if their hand sucks and they get bad draws. Going by this i'll assure you that the person who will be most affected by bad draws will be Kaiba, since he has Normal Monsters in his deck that will drag him down.
As such, my vote goes to Zane Truesdale and his Cyber-End Dragon.