Two nock points will keep the arrow from sliding down the string as the string moves forward under power. There is a nice video that shows it, maybe some one can post it.
If the nock end of your arrow was slipping down the string, you might end up with the arrow bouncing off the shelf. Raising it up far enough to prevent the bounce might leave you with a nock point that is too high. Either way you end up with the arrow leaving the bow nock high. Have you tried bare shafts?
If you are shooting three under though, you might need a pretty high nock point. My favorite recurve is tillered split finger and I need to get the nock point up 7/8" or so to tune well shooting three under.