I think paramedics and fire and rescue are the same service in some countries ? New York springs to mind (and yes pedants I know it isn’t a country but that doesn’t invalidate my entire point so keep out please)
Yes but they stick to those specialist roles. They even have separate ladder & hose trained companies.
No way can you maintain the skill set to be a competent paramedic & firefighter with firefighting, rtc, water rescue, working at height, haz mats, mass decontamination etc.
Regarding fires being more/less risky, it’s definitely more.
Energy saving measures & modern construction makes for compartment fires that are well insulated leading to backdraughts & flashovers together with the far higher fire loading of plastics,laminates etc we now fill our homes with.