I was born with a lazy eye and did the patch etc. too. Also had to endure all sorts of eye therapy. The one thing that it does effect down the road is reading skills, often times their eyes see two different words at one time and it tends to make them loose their place, so reading aloud is frustrating. My kids to a lesser extent were both born with weak eye muscles in one eye which I caught quickly given my own history. The pediatric ophthalmologists had dumped eye patches. They were both given eyeglasses that had prisms in them. (you can't see the prisms when looking at the child). The prisms forced their vision straight while strengthening the eye muscles unlikely patches that just strengthen them. Both my kids wore glasses for about 3 years and that was it with their vision being 20/20 from that point forward. Wish they had prism glasses when I was small, my kids were spared all the eye exercises and stuff I had to endure. Progress, got to love it.
Anyhow, kids were somewhat envious of my kids glasses, one little boy in Kindergarten even stole my sons glasses cause he wanted glasses. Never did my kids have any issues about feeling different for having them at school or at play with their peers.