My opinion: It depends whether you are doing any other blood glucose monitoring.
If you are not using a blood glucose meter at home, and relying entirely on HbA1C tests done at the clinic, then (in my opinion) the safest thing would be to have them done every three months. That is because, as we know, the A1C test measures the average BG level over the previous 8 to 12 weeks.
I realise that this flies in the face of medical practice nowadays, which is to do the A1C every six months or annually, for "well controlled" T2 diabetics. I was recently diagnosed, so am still on a three-month A1C routine. I won't be particularly happy if they switch me to six months, because I don't use a home meter. This means I could have three-month "spikes" in my average BG and be none the wiser, if that three-month period happens to fall at the beginning of the six-month A1C test interval.
If I have to "go private" for this, maybe I will. I'm in America, and already have to pay for all my A1C tests, because the insurance covers only a portion of the cost (albeit a large portion). If I have to pay for the entire cost, it will be a lot more expensive.
Regardless of the medical wisdom, it is also a matter of psychological reassurance. Not having the three-monthly A1C tests would pile on the mental stress, in my case. Others might be OK with it though.