The first thing I noticed when I threw away my sun glasses over 3 years ago was a huge improvement in color contrasts, peripheral, and depth perception... and slowly, my eyesight has improved as well.
I can read text in a normal sized paperback book now with my left eye (battery acid in it when I was about 17 - 18), when I could not before tossing the sun glasses... and refusing to wear my corrective lenses.
It has taken a few years... and the left is not perfect yet... but the improvement is very encouraging.
I suspect I still have my astigmatisms too... but am not sure as I have not had my eyes checked for a long time...