First off, Base Akaza is a perception blitz gap below Base Kokushibo that we see rather blatantly in the Hashira meeting (with Doma also similarly implying he could easily dodge any blow of Akaza’s, and that Akaza would never stand a chance against either of them), which means any kind of relativity to Gyomei is entirely dependent on his compass.
However even after gradually adapting over the course of the entire fight with Giyu and Tanjiro, his precognition-aided speed never gets far beyond that of Marked Giyu who managed to block most of his final form. Yet upon initial activation its boost is more marginal, with Base ICA Tanjiro being able to
keep up with a fresh compass Akaza despite
struggling with his speed before he activated his compass.
Considering TW + Marked Gyomei was relative to LS Kokushibo while Akaza was terrified of facing even Base Kokushibo whom Marked Gyomei could strongly compete with even before unlocking TW, the case that Akaza can adapt quickly enough to keep up with Gyomei (if he is even able to adapt that much at all) before Gyomei starts to smash him into pieces seems unlikely.
Once Gyomei starts pulping him with red spike flail, even if Akaza is able to survive being reduced to a smear by Gyomei’s regen-negation, he’s never really going to have an opportunity to recover and turn the match around. In this case (unlike Giyu and Tanjiro), Gyomei hasn’t been significantly injured to the point of being unable to continue if Akaza regenerates, and has already shown the stamina to keep pulping an opponent all the way to sunrise.
Voting Gyomei.