At least it seems the Sugino tool has an engagement tab with a sensible hooking angle.

Park has one model that combines the lockring tool with a 32mm wrench end - the HCW-12 - and it's up there as one of Park's worst tools. It isn't radiussed enough to cradle most quality lockrings so that the tab engages properly. Chewed up tabs and busted knuckles are the result. Plus, you rarely need the 32mm wrench end when you're buggering about with BB lockrings...

-Kurt