So I've just got a pretty major astigmatism in one eye, very minor in the other, without any other distortions. I went thirty years without corrective lenses and I think this kind of caused and reinforced my lazy eye.
With simple prescription lenses for the astigmatism my eyes are much better at looking at the same place, but at the end a long day I have a ton of trouble getting them to agree on where to look and often end up just closing my right eye.