Make it amphibious and add a tower ladder. Then the unit can do anything. Sometimes when you add functions to tools, equipment or units, they can do a lot of things - but nothing well. I liked my Swiss Army Knife but would rather use power tools for construction jobs and real corkscrew to open bottles of wine on New Years Eve.
If this unit gets a medical run and has to transport, they are OOS for 2 hours. Medical calls require assessment, initial stabilization/treatment, transport, hospital time/treatment documentation/cleaning unit/restocking. If they don't transport and still have to call a plain old EMS ambulance unit to transport, why buy the unit in the first place?
Assigned members riding unit need to be certified as both firefighter and EMT or medic. You may limit assignment of assignment of personnel unless everyone in department is trained and certified in both suppression and medical areas.