Think about it. The ASC-1 doesn't know if the motor is turning cw or ccw. Becuase the encoder is a simple switch closure. Not a quadrature encoder with leading/trailing pulse pairs.
Therefore. If it were true that you were able to simply put your Harley battery out at the motor. Unhook the to-the-house motor power wires. And give the motor juice. How could the counter know which way to move?
In the ASC-1 MCU. When it commands the relay pair to energize the coils and switch motor polarity and apply power out to the motor.
If it assumes that the actuator is going to move in X direction. The MCU flips into a counts up mode.
When the relay coils are activated to reverse and apply power to the motor. The MCU inverts counting. And down she goes!
You could choose to extend the actuator and have it count up. My choice. Or have it count down when extended just by swapping the motor polarity. The reed switch don't care.