The both combatants have similar stats (even the likely higher) so here is the true fight without special condition. That's good.
Surprisingly, their speed is nearly the same but Yujiro holds advantage here because of Demon Back.
In terms of intelligence, Yujiro has some advantage since he is not only good at martial arts but also good at semi-fight-applicable fields such as biology (allowing him to properly target the weakpoint to human body) and chemistry.
In terms of abilities, the two have nearly the same abilities. Yes, if you look at their profiles, you will find that they have many similar abilities. Hayato has Pseudo Flight, Memory Manipulation and Shockwave Creation gives him range advantage (especially when they all have one-shot abilities) and hax advantage. (Yes, I failed to find Yujiro has resistance to Mind but I found Hayato has such resistance)
I vote to Hayato but the battle is 51-49. Yujiro has advantage in close-range mostly for Accelerated Development and Instinctive Reaction.