I had the kids doing swimming, rock climbing, and all kinds of traditional PE games.
I worked with "normal" kids most of the time, and I will say the homeschool kids stuck out. They're more awkward around kids their age, but far less awkward around adults. They know how to speak and act, in large part. And they were disproportionately ahead of their peers academically--though I think that's probably a selection bias for the parents seeking out homeschool PE classes.
This was in the early 2000s, before Facebook. I'm sure the avenues to connect have only grown with social media.