When I fill out my medical necessity forms for non-emergency or inter-facility transportation, the most often reasons are "monitoring due to high risk of fall", "non-self administered oxygen", "patient requires two operators and use of a stair chair to enter/exit building", etc.
These are not inherently medical reasons. When I meet the patient, I perform an assessment, and in consultation with the vitals I assess, I conclude that my patient is stable for transport (if they are not, I arrange for a higher level of care). Since the reasons why the require an ambulance are not medical in nature, more often mechanical, I am operating as a bed coach of sorts. The use of hte ambulance is not for the medical equipment, supplies or personnel, but the stretcher, stair chair and oxygen.
Since my patient is stable for transport, I maintain an ongoing assessment, and transport while completing my paperwork. If that means that I sit next to them, and have them in my peripheral vision, thats what happens.