I wonder if there's something wrong with the EV-ECU. I've started my car with some low 12v voltages and haven't had issues, even when jumping it from a charger briefly when the battery was too low to even light the dome lights (including the LED lights, but they're all LED now) 2-3 times.
Between this and your quick charging issue, the common component is the EV-ECU. I would expect 12.4 volts from a battery of our size after 30 minutes of burning dome lights. Mine drops to 11.9-12.0 volts with the key on (not READY). It also was apparently jealous when I went to Harrisburg, as each time I went was when it decided to go dead on me .