It depends.
If the threat is "we're about to have a fight you won't survive", your critique is valid. If the threat is "you've just been poisoned, and will succumb within a few days", then giving them the time to put their papers in order really won't harm the speaker at all. Though maybe it isn't entirely effective as a threat. If the threat is "I can take actions that will end your life, but all I'm telling you is it's happening soon" it works as an ominous threat, and a sincere offer (though they'd probably better hurry).
Even if it's nowhere near a majority of the power, I'm surprised passive cooling from solar plus some electricity isn't worthwhile enough to be universal. It's a small impact, but also cheap enough it'll pay for itself, and many orders of magnitude more efficient than trying to get a datacenter into space, and figure out how to cool it