Have ye not noticed that amongst woodworkers, especially the amateur kind who are really woodplayers, sharpening is a distinct hobby of its own? Many spend 35% of their tool budget on sharpening gubbins as they like sharpening in 1001 ways as much as they like making wooden things. Would you deny us our innocent pleasures!?Why do people insist on peeing around with papers, oilstones, diamond plates, water stones et al with tools that should be ground/needed grinding in the first place? That's not what any of them are for.
As to hand-grinding .... it may take a while but think of the sense of achievement, especially if a dished cathedral step is used. On the other hand, you might be surprised at how rapidly and effectively 3M 100 grit stuff on that thin plastic backing stuck on to float glass will remove metal with just the hand rubbing.