I have the Trig TY91 compact radio which probably has the same intercom - you might want to check with Trig. I flew with a passenger that had a very basic headset, and it was hard to adjust the intercom squelch that worked ok with my Bose and the cheap headset. There is only one setting for both. I decided to order another Bose so I'll have two similar headsets - I hope that works.
If both headsets are the same, this will probably not be an issue for you.