Alright, so the double precog makes this hard. I think Tsurubami may have the slight edge tho, and I'll explain why
First, I should establish that Tsurubami can probably get past the field by stopping its activation before it happens, or disrupting it in general. He can also bypass it with his style. As for precog, While The Protag has the ability to see all possible futures, and all the ways that Tsurubami will disrupt his attacks, Tsurubami will be able to read with certainty what The Protag will use against him. I am assuming it is in character for him to avoid all the possible futures where he loses (judging from his profile), but Tsurubami's style is basically meant to deal with situations like this. He can force him to act out of character and just go straight for melee or enraged attacking. This should give him the chance to bypass his field and strike with the force of a rotating planet, and finish the fight quickly.
Now, don't get me wrong. It is very possible that The Protag can get a solid attack off in a way that gets around The Kamome system's precog and octopus. If both of them are playing a game of "But I do, but he does, then I do instead, but then he does, etc," and seem to be around the same level of intelligence, then it is very possible that Protag manages to out play him in many given senerios, but I think that the nature of their precog gives Bami the edge.
While Bami can reliably get around almost any of the defensive Skills and counter any of the offensive skills of those at the Sandbox Academy in Medaka Box (Which is like, every individual skill in the series except for 5 or 6), his system only works if all of his skills work together. One of the more reliable ways that I could see him dealing with Tsuruabami is not proactivity, but instead meeting his words that are meant to snatch the composure with words meant to influence Bami with his charisma. Like if Tsurubami says "Why not nuke the planet right now? Humanity sucks." and he says "But why would I? To Love-Ru Darkness gets destroyed too" and then Tsurubami is thrown off base as well, and they both act out of character. This is actually a very good match, to the point that all the possible out comes and the way their powers interact is very complex. But I feel like it shifts more closely in Favour of Bami.
For these reasons, I vote for him