Many of the public departments even cannot afford to run medic/medic when they're not worried about making a profit.
Most ALS will run Medic/Basic in privates since it is cheaper. Yes there are advantages to running medic/medic, but to most private companies don't think its worth it. I never had a problem on an ALS truck running Medic/Basic. Granted we can do a lot in Ohio and I would be less comfortable running Medic/Basic in Missouri, but usually it's for a cost issue.
When I worked for a private company the only time we ran medic/medic was if a truck was temporarily OOS and we'd go medic/medic/basic on one truck and m-b-b on the other. Also, medics doing CQI rides had another medic with them to check him off. Definately not the norm.
For the city department in Columbus, they run Medic/Medic. Suburbs and Townships will often run medic/medic/basic since all of the FF's are required to have at least an EMT-B and must have a Paramedic license by the end of 5 years.
Yes, there are privates that still run Medic/Medic. they are usually privates doing third service or contracted primary response areas with a municipality that requests that they run medic/medic. In that case, they'll do it since the municipality will pay for it.
Don't wuote me on these, but I'm pretty sure Rural/Metro and Abbott still run Medic/Medic in some areas. Sunstar in Pinallas Co. florida might...