I don't see my T nor my MD under my "regular" insurance, but that regular insurance does cover similiarly to what you said: medical manangement appointments do not count against any psychotherapy appts. IMO your 30 visits is higher than most policies.... many only cover 15 imo...
Hopefully your having 30 is a sign of things to come: insurance companies need to pay out for what they get, if needed by the policy holder