This time I avoided hanging out on that side, the one that looks easier. Both today and the other day I noticed that nobody was hanging out in the place where I got stuck.
One guy was really good at handling his kayak with just body language and hand-pieces attached to his hands (they weren't mitts nor were they the pingpong-like paddles I've seen people using before). I asked him about that weird side and he told me it is a very sticky hole on that side. However, it is, in fact, pretty shallow. I guess the water pours down steeply enough and then kicks back so hard it doesn't tend to flush boats out. Also, I saw that a large rock at what I thought would be the corner (escape) actually formed an obstruction that may have contributed to the kickback. Regardless, I decided to stay either on or to the right of the central greenwater tongue, as he advised. The eddyline on the other side was strong and more intimidating to look at/hear, but it also was good at pushing stuff downstream. How do I know? I flipped twice because I didn't switch edges quickly enough crossing it. But at least it didn't hold me in place. Got in my first two combat rolls of this season then. First time I rolled up I immediately got thrown right down again so I switched sides underwater and rolled up and stayed up on the second attempt. On the other capsize, the paddle actually swiveled over in my hands as I began rolling up, and I ended up with the power face UP. That wasn't a good roll but at least it got me up.
With water levels low so early this year, I don't know how much more time I have to learn this stuff.