My interpretation on how this can go
AP: Crash takes the AP since he is 80.634 Gigatons of TNT. While Akuma is 5.425 gigatons of TNT. So Crash should ideally one shot
Skill: Easily goes to Akuma, since he is a more organized fighter, having more less straight forward wins in combat such as killing kill, defeating M. Bison, Ryu, beating gen. And what not. Hell his intelligence is even described as a combat genius.
Stamina: Equal in both sides
Range: also equal?
Abilities: This one is interesting, since Akuma in this battle knows Crash would one shot, hadoukens are completely useless. As Crash would have no issue reflecting such. Another interesting factor is Akuma being able to sense ki less skilled than him (according to akumas profile), Akuma being able to teleport would definitely catch crash off guard since all the opponents crash face are narrow minded. The Raging demon won't really work since I doubt crash has sins that he would take to the grave. Damage reduction can work but he has to get upclose to crash to even do so and I doubt with the gap that big. He'd have to do a lot of baiting which I can see? To make up for so, Akuma can predict what crash could do, so he can teleport away from crash before he gets killed. Akuma can even instill fear into crash, create illusions to fool crash. So overall, it looks doable for akuma, he just has to massively outskill and be smart with how he approaches. As one stray hit would be the end for him.
Crash, on the other hand, has instinctive reaction, which for example, lets him dodge spears coming out of the floor without noticing. At least according to his profile. So its possible he can just, dodge akuma on instinct. Next, he can possess akuma and increase his speed with aku aku, become invisible with invisibility crate. Be harder to hit with jetpack or copter pack, time stop for a small amount of time, freeze akuma, or even summon an anvil on akuma. (Yes that's a real thing crash has from his profile) Put akuma to sleep, double his speed with speed shoes, stun akuma, and as mentioned. BFR
Conclusion, Akuma may be more skilled, but (according to crash's profile) Crash also shine in terms of tactical thinking AND physical activity, he is skilled in his ways as well. He is stated to have ways to identify and exploit weaknesses such as tiny and crunch. She even bested Coco, his genius sister who is comparable to him in combat ability when she was brainwashed to fight crash. So overall I will vote for crash. As he has abilities such as amping his speed, BFR, becoming invisible, possession, and flight to make akuma contacting him a must. However, that is a lose lose situation since Akuma gets bodied with the huge AP Gap.
