I have astigmatism. My contact lenses corrected it by pulling the cornea into its proper shape. Regardless of how misshapen the whole eye is, the contacts corrected it by pulling the cornea into the curvature of the contacts. Patching an eye does not correct that. Period. Full stop.
During my NP education I learned how to use an ophthalmoscope. I found it impossible to use my non-dominant eye. Regardless, when covering the dominant eye the other eye could see just fine with the contact lens correction. If I had wanted to, that is where patching would have corrected the problem by retraining the brain to use the non-dominant eye equally.
After radial keratotomy I didn't need glasses for more than 30 years. Now that I no longer wear contacts and my lenses and corneas have had age related changes, I need glasses again, at first only for reading and now I need them for distance but nothing like before the keratotomy when my vision was worse than 20:200 in both eyes making me legally blind without correction.
There's no way exercising my lenses and patching either eye would have corrected 20:200 vision or the astigmatism.
My anecdote outweighs the OP anecdote. This thread belongs in the Woo subforum*.
*One can patch an eye to force the other eye to work better. And one might be able to make small corrections in one's vision by exercising the lens muscle (you look at something close then something far repeatedly). But you can only see small improvements in vision, you could not exercise a lens to go beyond what is physically possible which one would need to correct 20:200 vision.