No -- they will not leave the medic unit and jump to the squad. The providers are (suppose to be) trained so that they can augment EMS operations during a special operations incident. But they are so busy, that this idea has not come to fruition, and it probably won't. So, for now they are just Medic units that have a different paint sceme.
They are, however, the only medic units in the city equipped with the AutoPulse mechanical chest compression devices along with EMS officers. And all squad medic are stationed with their respective squad company EXCEPT Squad Medic 47 which is stationed at Steadman Station because Squad 47's quarters is too small to accomodate a medic unit.