No. Airservices 'tis not a GBE:
Current Government Business Enterprises | Department of Finance
Lots of the people on near-7 figure salaries at Airservices think they're the smartest guys in the room 'cause they're running a 'business', but they'd be wrong.
However, I agree with your overarching point: giving the monopoly to the kinds of unscrupulous a*rseholes who are real experts at sucking money from the public at eyewateringly high rates would in my view be disastrous for GA.