No the military would not use a test that is not FDA approved. For further discussions on this I suggest you talk with your medic.
The military would not use a test that is not FDA approved correct? What are the FDA standards?
All rapid tests marketed in the US are FDA approved. If you have a concern about a certain rapid test I suggest you go to their website and read the reliability statements.
Could you share what you know about the rapid tests? How accurate does the FDA require?