$begingroup$ Summarizing, the main points are these two: 1) Once a 12V LA battery is down to 10-11V, the voltage will plummet rapidly. No real point in pushing it farther (and risking point 2), given that you only get a few % extra current out of it. 2) If a multi-cell battery is discharged too deeply you risk "polarity reversal" in the weakest cell.