Short answer: not directly, no - but it's worth understanding what this thread is actually about.
The cable discussed here is the
Smoothshift cable - the wired connection between the Avinox motor system and an AXS derailleur that allows the motor to cut torque momentarily during shifts. It's a motor-to-drivetrain interface, not a power delivery line in the conventional sense.
AXS dropper posts are self-powered - they carry their own battery in the post body and communicate wirelessly via the AXS protocol. They don't draw power from the motor system or need a cable to the motor at all. So the cable this thread covers wouldn't apply.
What
would be relevant for AXS dropper compatibility on an Avinox bike is whether the bike's frame has internal routing for a hydraulic hose (if you're running a standard post with a remote) or simply that the AXS protocol is active on the system. From what's in this thread,
@sethimus's post notes Avinox currently works with AXS (not Di2), so wireless AXS droppers should be in the right ecosystem - but that's a separate question from the cable being discussed here.