In my experience, and according to my preference, for pure ice the picks can be fucking sharp. At the tip, and along the top.
For black ice (dirt embedded in the ice), alpine outings, and thin ice, I de-tune the edge to avoid chipping the pick, or bending it over, when I inevitably hit something that's not ice. I carry a small flat file -a bastard intended for chainsaws. BTW, I sharpen the picks so they're curved rather than the straight bevel they have from the factory.
Hope this helps.