AWG is AWG no matter what it's used for. Also, don't forget to check what material it is made of. Two reasons to only deal with reputable companies.
1/0 awg = 53.5 mm^2 cross section.
4awg= 21.1 mm^2 cross section.
So you're right the 1/0 would have more current handling capacity.
i didnt mean it like that, i meant the way they rate the wire size and all.
car audio rated 0/1 is comparable to 2/0 welding size.
Same material, same cross sectional area, same current handling , same shit. My 1/0 welding cable is the same as my 1/0 car audio cable.