Pretty much any insurance company does the same.
That's only half the question.
The other half of the question is: do the people who die in war-fighting typically have private life insurance?
From my experience, the answer is a huge no. Most people go to war with government life insurance, simply because it's heavily pushed on them. They don't have a need for life insurance because they're unmarried 18-22 year old men, so I highly doubt that they have many non-SGLI policies.
The biggest reason people buy life insurance is because they're married and they have a mortgage. That disqualifies almost all of the military. Even if service members are married, they typically live in on-base housing and don't carry a mortgage.