Military moves come with a few more protections than typical non-government private moves. Scams do not typically occur there because oversight is through relocation departments and the companies doing the moving have a lot at stake--tens of millions of dollars--in findings of non-performance, and that includes theft and damage. The federal government is very good at getting moving contractors to perform. That doesn't mean they are prefect, but they are better than not having the government behind you. All government moves are inventoried and all contractors bear first dollar liability on losses by the terms of their contracts with the military.
The typical civilian move may or may not include full insurance, the default common carrier liability is basically peanuts, based on tare weight. Inventoried loads, custom packing, extra insurance are extra-cost services. Getting a binding estimate is extremely important, and that is one avenue where without one you get fraud and scam activity (i.e., "pay us another x thousand or we don't unload the truck", or worse.) All these elements are taken care of when you move with the military. One important thing; make sure you have homeowner's insurance that also covers your goods in transit.
Inspect your things carefully when they arrive. Do not sign off until you have done that inspection. Claim absolutely every form of loss or damage you can find. Everything.
In my time in service, the best moves I heard of seemed to be on service members being returned from Japan. Apparently Japanese moving companies are exceptionally scrupulous, and seal all shipments in crates before being containerized. They make a very big deal about breaking the seal, apparently.