I agree w/ "Thinwater".
If the true wind is at or near 0kts, then the relative wind is dead on the bow and the sail(s) will luff and be of little or no use.
Also, if you are running dead down wind and the true wind speed is at or below the boats (motoring) speed, the relative wind will either be 0, or slightly on the bow... also meaning the sails will be of no use.
As far as the (main) sail "stabilizing" the boat in very light wind conditions, my experience has been that any "ground swell" that may rock the boat will simply cause the sail to slap and be more of a nuisance than anything else.
I motor under those conditions with the sails furled, if the wind comes up, it's easy enough to unfurl.