I had to google around and think about this question. There really wasn’t a good answer, but...
Putting an air gap behind the panel is not going to absorb more mids/highs that are already being absorbed -- unless you pull the entire panel away from the wall. This allows mids/highs that are coming around the panel to reflect off the wall and into the back side of the panel.
I have read that an air gap behind the panel will enable the panel absorb bass that is an octave lower, but remember that any bass waves going through the panel are going to resonate the wall as well. If you look at the difference between Owens 703 2" and 4". You’ll see that the 4" thickness is 5 times as affective at 125 Hz (0.17 vs 0.84). Based on this, I’d stack two layers of 3" to make a total of 6" if I wanted to absorb more bass. The "air gap" is really just a tweak to boost bass absorption on thinner panels.