I don't see the usefulness. You can sign a lie cryptographically just as well as a fact.
Argument lost right there.
As a UK resident my government is not legally permitted to take part in, or knowingly allow to occur on its territory, anything like "extraordinary rendition". "isn't allowed" made no difference in that case (and many other examples can be referenced for other governments including those of America) so we can't really expect it to in this or any other future case either.
Is that actually the case?
If you want to practice civil disobedience, do it, and be straightforward about it. If Rsync.net were really to try to exercise this silly clause, it would be a giant distraction from what I presume is their actual complaint.
Regarding the first part, I've seen a couple places the claim that the government can't force people to lie - I don't know of any support for this, but also haven't conclusively heard that it's not the case (certainly not from a lawyer). I'm highly skeptical, but wanting to know what support the people claiming this think they have. The fact that you can name another potential constraint that doesn't hold is irrelevant, isn't it?
It will likely say something like "No rBST Artificial Hormones" and next to it it will say "No significant difference has been shown between milk derived from rbST-treated and non-rbST-treated cows."
That label is government mandated, and by law can't even be prefaced with something like "The following is Government mandated" or "We're forced to say."
This is a lie, because other parts of the government (not the FDA) have found material differences in the milk between untreated/treated cows.
"Product contains rBST - an artificial growth hormone banned from human consumption in the EU and other countries"
You can find these specific requirements for secrecy onerous and undemocratic, and I might even agree with you. But these "I'm not really violating the law" posts by non-lawyer geeks are boring. There are all sorts of reasons society can demand you not to make certain communications. If you stop communicating to make the communication, you are still doing the communication in violation of the law.
If the actual system is robust enough to be a "dead-man" switch then you have to plan for "false positives/negatives" and have more than one person involved in the process in case of emergencies. This increases your social attack surface. Two people might be trusted if one is dead and didn't leave any evidence behind.