Setting aside whether Ayanokouji can get away with violence, I do think Ayanokouji will win this fairly easily. The violence argument is kind of secondary here so I will come back to it later if needed.
Yuuichi's side has a better idea of how the game works and the forest's layout. (This advantage is something Koji's side is unaware of)
While this is fair, the intelligence difference between Ayanokouji and Yuuichi (Smartest person for each time) is actually massive. Firstly just by VSBW logic an Extraordinary Genius is a stomp difference, but this should realistically be a much bigger difference than just that. Imo, Yuuichi should be much closer to Gifted than Genius rating so this is a genuine no diff comparison in terms of Intelligence. Additionally, Arisu is also smarter than Yuuichi and I would make a strong case Ryuuen is as well.
Plus with the intelligence advantage they will be more likely to come up with a strategy that Yuuichi's team can't counter. The prior knowledge of the area won't really be enough to overcome Koji's EG intelligence and he is capable of understanding and predicting somebody like Yuuichi's every move.
Then this is correct but honestly this understates the difference. Ayanokouji can consider every possible strategy Yuuichi's team could come up with and use that to predict their actions. He is capable of predicting future events via sheer calculation and given his calculation ability he can consider way more possible strategies than Yuuichi could even come up with. In practical terms this means that if Yuuichi does anything even "somewhat" intelligent Koji would have already considered it and prepared for it since he can predict more possibilities for what
"Yuuichi might do" than Yuuichi can
"actually come up with".
Then just in terms of seeking his team has the best set of advantages aside from just intelligence. Koji is by far the best seeker on either team even with reduced speed.
Though, I do agree that the enhanced senses are a bigger advantage than prior knowledge.
He can still sense people without knowing their locations though, Kushida being a good example in the 2nd year island exam
His enhanced senses are going to be incredibly useful here given he can detect the presence of people around him without being able to see them.
Having multiple team members with superhuman stamina will be much more important for seeking than top speed here.
Also agree here. I'm not sure how large the forest is exactly but I can't imagine the game area is much larger than the 5km by 7km space the Y2 island exam took place on and the terrain is far less trecherous. This is relevant because Ayanokouji was able to cover distance in the forest much easier without getting tired meaning he can keep searching for longer than any other player. His Superhuman+ stamina reflects this.
The biggest obstacle will be Tenji's Stealth Mastery but Koji's enhanced awareness will be able to counter this.
The next item to consider is whether Ryuuen could be convinced to switch sides and this really shouldn't be an issue. When the game rules are explained Koji would immediatly realize this possibility, and since he knows his teammates and Yuuichi doesn't, Yuuichi doesn't know this about Ryuuen. Koji can easily prepare counters for this per my earlier points about being the far more intelligent team. He would either address this with Ryuuen from the start to remove the possibility of betrayal or maybe even more likely lay a trap for Yuuichi's team using Ryuuen switching sides as bait. This is very in character for Koji given he constantly presents his opponents with "false information" and uses it to trap them. He may use Ryuuen to lure out Yuuichi's team or to get information about the hider.
The last thing to note is that it is possible that once Ayanokouji first runs into a member of Yuuichi's team he will be able to cold read them for information about who the hider is and where they are. His information analysis and Analytical Prediction are things that nobody from Yuuichi's team has a resistance to. He has feats of getting even unrelated information from people from oberving them even through a camera so when it is something like this he can zero in on them. If he actually talks with them he can extract information through conversation as well.
Long post but yeah I don't really see how Ayanokouji's team could lose this. So voting Ayanokouji for these reasons.