Restrictions: Eighth Gate, RDS
Location: Minato vs A
Conditions: Both are alive
S1: Same Positions as Ay vs Minato, Gai starts in Base and Minato has tossed his Kunai out like against Ay
S2: Same positions, Gai starts in 7th Gate and Minato starts with his Kunai tossed out
S3: Gai starts in 7th Gate, Minato doesn't have any Kunai tossed out
Let him throw? Just like against Ay, he threw a kunai from his hand, and I believe he can threw a kunai from his pocket fast enough before Guy attacks him.
Minato can Kage Bunshin to buy himself some time in the scenarios where he's starting without kunai thrown. I don't see him doing anything substantial to stop 7th Gate guy in the long run though. Minato takes S1 low-to-mid diff, Guy mid-to-high diffs in S2 and S3.
Depends on how good you think Gai's stamina is, and how long you think Minato can evade.
Gai is physically faster (by far) and has far better reactions. His taijutsu skill and reflexes allowed him to fend off Obito's CQC Kamui phasing without letting him to touch him and making him phase to not being hit, Minato isn't touching him to mark him with Hiraishin. Nunchaku also deflect the Hiraishin kunai, and Asa Kujaku and Hiru Tora totally screw on them, teleporting is useless with that AoE. But for hell's sake, just compare their feats, LoL.
Minato vs Juudara
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Minato tries to surprise Juudara with Hiraishin to land Rasengan but Juudara react with ease and counterhits by cutting the attacking arm and then kicking Minato away like shit, with Minato not being able to react and use Hiraishin in both istances. Minato isn't even able to end the attack he was trying, before he is swapped away.
Gai vs Juudara
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Gai clearly pressures Juudara with his speed and taijutsu skills, without letting him to touch him with the Gudodama staff or balls, and manages to corner him and launch his finishing attack, even if then is countered and defeated back.
Gai mid/high diffs Minato. The Yondaime is not having an easy time like he had against the Raikage or a young and unexperienced Obito, he's dealing with Konoha's freaking Green Beast here. And Gai is too much even for him.