Hmmm - If you are plugging all the way into an "Insert" - you are basically connecting the ADI's "Ring" to your Mixer's "Return" (input connected to input). I'm not sure if that would have any negative effect (likely noise) on the ADI or on the "single ended" detection and associated gain (it obviously renders the rest of your Mixer's chanel strip un-useable since you are "breaking" the insert's "Normal", correct?). I'd probably be more comfortable using a TS to TS plug, and only plugging into the "1st click" on the Insert - this will prevent you from presenting anything to the ADI's Ring input, and will allow you to use the rest of your mixer's channel strip if desired for monitoring, EQ, Aux Sends, etc.
Beyond that - I'm not sure how the ADI's +6dB of gain is activated for single-ended inputs - I figured it was only when a direct short was detected from Ring to Sleeve at the ADI's inputs (indicating a TS jack is plugged in as the Shield and Ring are shorted via the TS Jack's Shield connection). I'd figure my "Special Cable" suggestion would work - but RME will need to confirm what triggers the +6B of gain on the Balanced Input Receiver chips they use...
As a test - you can try using a plain TS > TS cable (a guitar cable will work) and see if you observe +6dB more gain than you do now. If so, then you are not getting the added gain with your TRS cables (as I suspect might be the case by my assumptions above).
MADIface-XT+ARC / 3x HDSP MADI / ADI648
2x SSL Alphalink MADI AX
2x Multiface / 2x Digiface /2x ADI8