Oden didn't want to, Kaidou let him decide that, he was loose in a prison with his swords and could choose to leave there whenever he wanted, he even received a visit from his wife. LOL
That is wrong.
Oden clearly wanted to life, he even asked Kaido if he would allow them to escape with Kaido simple didn't wanted it.
Kaido was clearly afraid of Oden, he know he could lose that battle if the old hag didn't kick in.
Like Kaido, I doubt Oden go all out, he most likely had skills behind him with he could use, maybe his own KoH move.
That to said, someone like Kaido should accept a rematch, im pretty sure Oden would down on it too. Oden really wanted to life, someone who took one hour insane heat to prove that, wouldn't refuse a 1on1 rematch against Kaido.
Question is if Kaido had his drunken Modus back than too. We know Kaido didn't used everything, but Oden neither.
The fact Oden did something just a single, with all scabbards+rooftop five failed to do, proves his insane AP and the fact he could seriously kill Kaido with two-four more Hits.
Neither Asura or OKG of Luffy put Kaido into the states one simple adv CoC Clash of Oden did.
And Kaido knew this and didn't want to risk everything to build up.
What literally speaks against his character, but you know Oda.