The thing is, if this were any other game I'd look at this nonsense and say, "Okay, there's no way the system is this complex. The throws are all probably based only on the Throwing Attack stat, the specials are all probably based only on the Specials: Direct/Indirect, and the Weapon Attack category is probably only meant to apply to A attacks that use non-sword weapons like King Dedede's hammer and Lucas' bat."
But there are two reasons I can't say that. First, it's Sakurai. :lol I'm not writing anything off. And second, there are so, so many categories of attack types that it would seem strange to me if they were really boiled down to only one attack type per move. Take Zelda's Din's Fire, for example... Is it a Magic or a Fire Attack? Why not both? Or the beloved Knee that everybody wants to return: it has elements of Leg and Electric Attack. Or Pikachu's forward air: that seems like Body + Spin + Electric.