OK, I gave it a test and here is what I found
Pairing - works, but the controller has a short wait for pairing period. I press the pair button on it after starting the RetroPie's scan dialog and I have to press the pair button again after the scanning dialog finishes and shows me the list of devices.
Everything else is default, but had to remove the device from the list of paired devices since it was present there.
After pairing, the controller worked fine, but more below.
Re-connecting after powering down didn't work, tried a few times and even re-paired, but it refuses to re-pair.
Then I remembered I had xpadneo installed for testing (I have most drivers installed just to test they're correctly upgraded) and xpadneo configures the bluetooth module with disable_etrm=Y. After I removed this configuration (it's in the 99-xpadneo-bluetooth.conf file) and rebooted, the connection worked fine, the controller re-connects without issues.
@medwards64 Try to re-pair the controller and see my notes above. Make sure you remove it first from the list of paired controllers. Not sure if you're experiencing the same re-connection issue (caused in my case by the xpadneo driver) - did you install the xpadneo driver in RetroPie-Setup or did other configuration for Bluetooth ?