I'm split. on one hand, Godzilla can fire atomic breath and vaporize Chaos's brain. on another hand, Perfect Chaos has a ton of weapons and abilities and Godzilla can't physically hit him or melee him like he would with most kaiju. So...tie I guess?
Well...that form takes radiation to achieve. Heck, a normal nuclear pulse still requires a ton of radiation. So unless there was a nuclear plant conveniently located nearby, Godzilla would have to use his typical set of abilities.