I think the challenge here will be workholding. It makes sense that the other picks on the market would be hand ground following laser cutting. I'm guessing a two stage process (grind then buff) perhaps followed by a bulk tumble polishing process. With decent workholding/fixturing you could do the hand work fairly quickly and consistently.
While very nice, Personally I've never understood the type of pick you manufacture. I suppose it would make sense if you were a single line sharpshooter type player. I bought a gross of these (below) 30 years ago and they've served me well. I expect these are die cut from sheet, tumbled, and hot stamped. That's how I'd make them anyway. Perhaps a bit pedestrian compared to the boutique nature of your product, but serviceable and economical to manufacture.
Sharp solves all manner of problems.