It will compensate to a certain extent.
I have astigmatism in both eyes. Where I see things is not where they really are, so for example I can't play tennis...... it looks like there must be a hole in my racket, because I get awfully close but can not hit the ball. On the other hand, I'm an artist by profession and have trained myself so that I know where to put lines to make things come out right, when dealing with a piece of paper in front of me. I am so accustomed to compensating that I refuse to have this corrected by glasses - I think it would take me a long time to train my eyes again. I can't even tell that I am compensating. It is simply the way I see when viewing things close up. I automatically draw them correctly without even trying.
With the tennis racket thing, I could, if I spent the time, train myself to perceive where the ball actually is in space, and then I would be able to hit it. Since I have no interest whatsoever in tennis, it does not seem worth the effort it would entail.