Most of the time he’s seemed to need another agent to do the deed. Either that’s because he enjoys forcing other people to destroy each other or because just as he can’t touch the living without the proper protocol, he can’t destroy the souls without some intervening thing happening. Have we actually seen Hades himself put someone in the river without help?
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Keeper of Belle's Gold magic, sand dollar, cloaks, purple FTL outfit, spell scroll, library key, copy of Romeo and Juliet, and cry-muffling pillow, Rumple's doll, overcoat, and strength, and The Timeline. My spreadsheet: https://drive.google.com/file/d/0B6r8CySCCWd9R0RUNm4xR3RhMEU/view?usp=sharing