Imo, the problem you describe is a result of torque sensor not being at the motor axle. If you measure torque at the axle the controller can immediately modulate motor torque accordingly.
In this system, gear ratio is not known, that is the controller does not know which cog your derailleur is at, hence can not compute the translated torque just from the proportional signal from the bottom bracket torque sensor. In this case the only way to measure the torque applied to the motor axle is to measure rider power first which also requires cadence measurement.
Hence the controller is waiting for a cadence measurement to measure power and compute the translated torque at the motor axle and you observe a latency very similar to cadence only systems when you start from a standstill.