Some systems (including my own) have an EMS medical director who frequently responds to the scene, in a marked vehicle. the medical director is different than medical control, and is typically a full time employee of the EMS agency. The county medical director of my county (and his two deputies) both have take home cars, as did the former medical director of the agency when I worked in NJ, and it's not uncommon for him to show up on a scene. esp weird or unusual ones in the city limits
I don't know if I agree with your assessment of "excessive decisions by the physician" especially when the field crews contacted the doc for advice/orders/guidance. But giving ketamine because he's not quite dead yet... I mean, I understand why (alleviate suffering, not contradict the medical director, etc), but ooo boy...