They'll lose their case if all they did was call you and make a demand. Expecting them to show up in person in some capacity and show you the paperwork is fully reasonable. For a while they mostly operated with letters and sometimes registered mail but that can be faked also.
Look, if you want to preserve your rights you've gotta stand up for them.
The only real reason you get charged with contempt is for ignoring the warrant. If you try to verify it you're not ignoring it. If you ignore something that's not a warrant they're SoL. It's my understanding these "emergency requests" have no legal basis. The ability of the state to pressgang people into service is very limited.
I'm willing to agree the law is crap and you might go to jail (briefly) anyway, but that's not an excuse for "it should work this way" which is the direction everyone seems to be taking it.
I'm aware they'll fake court orders too, which is your defense if you piss off the court. Sadly this is only an issue that can be solved by the recipients doing more verification. If the courts offered more verification, you still need to teach the recipients to make use of it.
Turns out the government actually has no duty to convince you, locking you up tends to be convincing enough.