TIEW - No because there is no standard to "breakdown". This one only became famous because Jetstar wants a Tower at Ballina.
The British, who provide many radar services in Class G, call them an AIRPROX. They also have an AIRPROX committee that analyses the "breakdowns"/"close encounters" and recommends changes. Their advice could be a change to the service including introducing a controlled service.
Have a look at their very well-thought-out services on their web page. Basic, Traffic, De-confliction and it will change depending on the aircraft position. For instance, if you penetrate a Class D zone from Class G, the approach controller will automatically inform you that you are now subject to a radar control service. When you leave you will be transferred back to the Class G service and you get to nominate what you want. Very sophisticated stuff