Good point about current ratings. I read reviews on some LiFePo4 batteries where people reported the BMS shut power when they exceeded the current limit. As for the charging voltage, wouldn’t the BMS handle that?
One UPS is a 550VA unit used for networking equipment. Typically only around 10W draw on that.
Another UPS is a 1500VA unit which has two batteries, I’m guessing in parallel, but not sure. That one runs a desktop computer and monitor, and typically has a load of ~100W but could go over 300W or more depending on use.