It's not about whos better it's about who will (win) in terms of abilties if they fought, it's easier to come up with an argument for itachi because of feats.
and I've conceived that Minato lacks the feats to beat Itachi, and feats are what the VS threads run on. Minato may be stronger in terms of author-intention, but I maintain that he is weaker in feats. And in feats, Itachi is an absolute monster, truly rivaled only by madara Nagato, Kabuto, and Tobi. Here is my take:
Typically, you need special training to even have the option of fighting Itachi on even ground. Minato has no feats of special training, doujutsu to see through genjutsu, or a tailed beast to break him out instantly, more importantly minato seemingly doesn't know not to look at uchihas eyes at all considering he looked into the eyes of the man he thought was madara uchiha.
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Moreover, no character possesses the speed feats to touch healthy Itachi one on one - even on even ground - given that current Naruto and Bee were unable to. Hiraishin(FTG) is, of course, an exception, but given that Bee countered it to an extent - Itachi likely can as well as he displayed better reactions in his fight with base killer bee who had to be warned of itachis presence.
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Moreover, Itachi has cloning feats to make Hiraishin more difficult to use as a finisher. Can you imagine Minato with a clone feat? He'd rule the Battledome. Itachi x 2 is too much for most, like Minato x 2 or Madara x 2 would be. His Karasu Bunshin defeated post-wind Naruto. Also, Itachi’s Kage Bunshins explode, and the databook I indicates that you need a special eye to tell that the bunshin is about to explode which minato does not.
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However, avoiding Itachi’s eyes isn’t enough. You have to avoid his fingers as well, and the eyes of his crow-summon, which has Shisui’s Sharingan, and can cast powerful Sharingan genjutsu at Itachi's discretion that crippled post-wind Naruto. There are immeasurable opportunities for Itachi to create an opening for his very fast attacks and jutsu.
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Zetsu said that the requirement to break Sharingan genjutsu was having a greater net-combination of genjutsu skill and eye power. Madara said Itachi let Sasuke out of his genjutsu: Sasuke didn’t have the Mangekyō or more genjutsu skill. The databook, a source of canon, says that
Kais don't work, which makes since, as the med-nin genjutsu user, C, wouldn’t have been fodderized by Sasuke’s genjutsu otherwise. Therefore, Minato's ability to effectively counter genjutsu is more dubitable than Itachi's ability to counter Hiraishin, because even if he was a counter, he doesn't have a feat of having a counter.
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Itachi is no longer a *****. He very clearly has much stronger endurance than when he was sick. He used several of his base and Mangekyō techniques without fatiguing. We know that Edos are
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immune to bodily fatigue. Look at his list of jutsu used against Nagato and Naruto, and realize that he didn't appear to be nearing his limit. He's a genius and a hard worker, so this shouldn't be surprising.
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To reiterate, I personally believe the author sees these two are but in terms of deductive arguments based on feats, there is little room to argue that a speedster without a feat-counter against genjutsu can beat an illusionist with many feat-counters against speed. Thanks for you time, if I received it. Please read it over, think about it, and get back to me if you disagree with my examination of facts. As I said before, I have been wrong many times, and this may not be an exception.