You can say what you want. Just don't make it look like the army is saying this.
It may sound like a contradiction, but it is not. You voluntarily join the army. You join that specific group and accept their 'rules'. It is harder to argue ( not impossible since there are naturalized citizens, who clearly opt in to become citizens ) that citizens by right of birth voluntarily opt into that set of rules. That is the where constitution comes in.
What I am saying is that army argument is flawed.
edit: changed typical to average
[1]https://www.globalsecurity.org/military/library/policy/army/...
My argument is every one believes there are limits to free speech they just place the boundaries at different places. And I stand by my position that the soldier example is on a fundamental level a restriction on free speech.