Following up on this, I turned the battery off in my TOU settings, so that it was never asked to power any loads. After a while, the SOC started to show more normal readings, and now, a year later, it seems to be working more or less normally. I wish I knew what, if anything, I did to fix it. I'm on a new TOU rate plan with the PoCo, so the battery sees less use than it normally would.