Lisa, I don't have a real answer for you, but I too had a lazy eye as a kid.

It wasn't totally out of control but because I could move it I used to play with with it and do it for fun! Now I was very young but I remember the doctor telling me something scary would happen if I didn't stop playing with it!

So I did! And it that sense, I did retrain the muscles and today, I wouldn't be able to move it to be "lazy" if I tried.
So, it can't hurt!
When I got Optic Neuritis, my sister made a point of asking me if it was my "lazy eye" -- I'm NOT going to go so far as to make a connection that maybe that one was more susceptible but yes, it was the same eye.