I work for an HVAC company and I see a #6 feeder going out to a sub panel feeding two condensing units all the time. It's usually on older houses though.
We changed both systems, ran new liquid tight and thwn from sub panel to each condensing unit, and the inspector failed it because of the 60 amp breaker on the #6 feeder to the sub panel. Says it can't be over 50 amps.