There is no reason to lie in any of those cases; it is called integrity. Yes, your next OER might not look so good, and your dreams of getting that star will be gone, but that is no excuse not to do the right thing.
You’re kidding, right? Your dreams of becoming an E-3 would be gone. Military personnel are given the option of lying to idiots or leaving the military.
Importantly, when things matter, like in combat, these same personnel are scrupulously honest. But evading scoundrels who want to oppress you is hardly dishonorable.
The Washington types are upset that the oath they swear is to the constitution, not to their overlords.