I had amblyopia as a kid because one of my eye muscles didn’t develop properly, so there was an imbalance leading to a lazy eye. I had to get surgery to correct that, but it was past the time window when proper depth perception is developed (until about 7 years of age, got my surgery with 9). So yeah, my vision is kinda like yours.

Even with the lazy eye gone, I only use my stronger eye to look through binoculars, dunno why. But I’m also myopic in the right eye and hyperopic in the left, so maybe that has something to do with it.