Inverter inrush would create a high CURRENT event, and generally be recoverable. High voltage would be connecting to a "bad" charger, and would be unrecoverable (and such a charger would be likely to kill a JDB as well).
I'd disconnect the main terminals and BMS sensor/balance from the Battery pack, and check the voltage on individual cells (voltage on the individual bus bars). I'd top balance any low cells, carefully, and then check the output voltage of your "big" power supply before replacing the BMS and re-installing the battery.
If you want to retry the Daly, be sure to Install BMS in the correct order of things: #1, sensor/balancing wires to the battery cells/bus bars (do NOT yet plug the connector into the BMS). #2, connect BTS. #3 connect B-. #4, connect Battery "+". #5, NOW connect the sensor balance wire connector. #6, connect "P-". #7, connect the light board to turn it on. But they're saying it's been killed by high voltage from a mis-connected "charger", and they're probably right.