You are correct the APSRM4 is the remote control for this unit.
https://www.amazon.com/Tripp-Lite-Po.../dp/B0002H9S1I
It should plug into the RJ45 connector on the inverter/charger. In my original install, the remote was under my Guacho, basically a couple of inches away from the actual unit. (it did not have the faceplate on it).
If the cable was not connected, it should work the same as having the actual switch on the inverter in Auto.
If you were to take a RJ45 cable and put a switch between Pins 1 & 7, that would allow you to switch from Invert to charge only, obviously the other lines are the for the LED's although I don't remember the actual pinout off the top of my head. It is possible that it is wired to just a switch and not the expensive remote. You could check to see if Pin's 1 & 7 are indeed shorted on the cable, that would indeed put it into charge only mode.
-greg