IMHO: In these cases, BSCU reset only gives you a chance to taxi back to the gate rather than asking the tow truck to be pulled away. Continuing to flight is not an option.
I thought you answered your own question.
With a modification of the N/WS Disconnect/Reconnect Control Logic of BSCU. The N/WS function cannot be recovered by Towing lever operation without Parking Brake pressure set, after A/C Towing. That's the only time when the reset can be done and flight safely dispatched, if recovered.