In my experience, specifically with the India stone, lapping it will smooth it out as it comes from the factory. It will clean up quite a bit but is still a "medium" finish at the low end though is near perfect for EDU and working tools. It shouldn't take a ton of work to pull off, maybe ten or fifteen minutes tops.
It is possible to glaze it somewhat and it will function at an even higher polish, but will also grind more slowly and have difficulty cleanly removing burrs.
If you do lap it, use a loose grit if possible, and plenty of water. I usually use another flat stone, often an Arkansas that I know is flat will make a good base. Apply 120 or 220 grit silicon carbide, splash of water, blob of dishsoap. Lap till the grit breaks down and add some fresh stuff if needed. If no loose grit or in your case a curved surface, a fresh sheet of 120 wet/dry and plenty of water will still do a fine job. The hardest possible backer is a big help.