SAW77
It isn't the type/model of aircraft that is the potential compatibility issue.
It is if you and your Instructor are using different make/brands of headset that compatibilily issues can arise. They don't always but in a good many instances it can and will cause problems.
If I were in your shoes I would continue using the training school headsets untill you have your licence.
Then if/when you have joined a group or bought your own aircraft you can then do your own thing and buy a nice headset....Just my opinion of course.