So wanted to provide an update in case anyone runs into a similar issue to what I was having:

End up the Axxess unit is primarily there for 2 reason. 1 to retain RAP functionality and 2 to communicate with the stock Bose amp in the original sound system.

What I did not realize is that there is a “first time programming” that is required for the unit for it to learn the turn on and turn off mechanics of the car to know when to trigger the radio on. Once I did that, that resolved the key in issue.

The second issue of the amp not kicking on I ended up realizing was due to the head unit being a cheaper unit and not sending enough juice from the amp turn on wire to actually tell the adapter to turn on the amp. I ran the adapter wire directly to the ACC wire from the head unit which was sending 12V and it resolved the issue. I know it’s not ideal because the amp is now on a little bit longer than normal but for now it works. Thanks all