YES,i do feel they are equally hazardous having done both...
I don't deny that the jobs are both emotionally or psychologically demanding and your example deals with that aspect, not the hazardous nature of the job. But the hazard levels aren't the same, or else there would be as many firefighter fatalities as there are military ones... Either firemen are just naturally incredibly lucky (at which point, why don't they win the lottery every week?) or else they face fewer and/or lower grade hazards that are more easily countered than those facing servicemen.