I don't have the specs immediately available, but the differences are small, unless this is a bearing application. AMS 5880 is for bearing quality material, while 5630 is a more general grade. The chemical composition for alloying elements like Cr, Mo, etc. are the same. The specs differ in how the steel is refined, and what the P, S, and O contents are allowed to be, which influences how many non-metallic inclusions there are. Excessive non-metallic inclusions degrade the surface finish, which means the steel can't be polished as well. This can lead to flaking and spalling under high contact stresses. They also reduce the corrosion resistance by promoting pitting. So if this is for a lightly loaded roller or valve, etc., then probably no meaningful performance difference. Don't even consider it if this is a highly loaded bearing.