The difference for the military is that there's often a much greater risk of being injured, maimed, or killed.
By 2010, there were more contractor deaths in Afghanistan than military.
Between Iraq and Afghanistan, contractors have accounted for 25% of the deaths.
The article below points out greater numbers of contractors than troops, and more reported injuries of contractors than troops, too. Because contract companies tend to significantly underreport injuries (and deaths in some cases), the government figures are considered to be incomplete, with more contractor injuries and deaths.
https://civiliancontractors.wordpres...ractor-deaths/
When you step away from the Department of Labor figures and look elsewhere, the figures climb considerably. While the Department of Labor shows 44,000 civilian injuries, for example, the Defense Base Compensation Blog shows over 98,000 injuries, and breaks them down by quarter:
Civilian Contractor Casualty Count | Defense Base Act Workers' Compensation
So no, there isn't a greater risk of being injured or killed as a service member, and the numbers don't support the notion that a greater risk of injury exists, and in recent times, dont' support the notion of a greater risk of death, either.