My answer is maybe. If I can place my bins on a fence post, I gain a significant advantage in stability, even compared to resting my elbows on car top, knees, and in other stability promoting stances. I find small vibrations very destructive when using an optic to the limits of my visual acuity, and I think that in practice stability is more important to me than delivering info from 2 eyes to my brain even though I know that the latter is helpful (especially as the light gets low). A 30x scope is a major improvement over my 8x bins in part because of its higher magnification and in part because I have it on a stable tripod (unlike the bins). You seem to notice a considerable gain with the use of two eyes. For me, the gain is more subtle in comparison to stability and magnification.
--AP