I have played ultimate frisbee for years quite successfully, and people were usually surprised when I mentioned I have no depth perception. I've met another A.E. person who was a good softball player. The hard part is when I have to look up at blue sky to catch something; the size difference between "can jump to catch it and cannot" is not very big, and there are no parallax/overlapping cues to draw on.
Interestingly, one friend said "Oh, that explains it" when he learned about my eyes. He noticed that I never look into a cup or glass straight-on when filling it, but instead look at it from the side so I can see how full it is. The growth of the circle of the top-of-liquid is small enough that I will heavily underfill a glass rather than risk spilling. As you suggest, it's not deep life-changing stuff, but it is quite a novelty!
How did you come to learn about esotropia? It sounds like the doctor might have actually diagnosed me with that, as I distinctly recall having to wear a patch very early on in life.
Ánd finally, thanks for elucidating on the name of the condition and how you're affected by it. It spot on describes my experience and I'm glad to know a bit more about myself.
I learned the alternating esotropia name from my parents, probably during high school or so. I don't think I was able to name it before that, and I don't remember the context in which they shared it. Probably I was complaining about the stereograms that were popular at the time; I have never been able to see anything in those.
Aside from what I've mentioned so far, I also get a free bonus of driving my wife a little crazy; she always tries to figure out which of my eyes I'm looking out of when we're talking face-to-face. It's nice to have a bit of novelty that is, all-in-all, not really that big of a deal. It's fun to talk about, though, as evidenced by the popularity of this thread.