I prefer the explanation that this is some unexplained phenomenon happening between Alex and Fireblade, and that Tempo is cluing in on it. Partly, it's because it matches up with my vague overarching theory, since we know very little about the mechanics of telepathy and lotai, and none of the Loroi have any experience in dealing with whatever capabilities humans have. But also it's because I like the version of Tempo who's being almost entirely straightforward and helpful with Alex, and yet everyone distrusts her because she's a Mizol and *could* manipulate people if she wanted to.
(My personal theory is that humans in the Outsider-verse have some low-level telepathic ability, but a much higher lotai ability, possibly due to aliens abducting all the strong telepathic senders 300,000 years ago. So the upshot is that humans never learn to use telepathy on other humans, and aren't even aware it exists. Maybe some rare cases with low lotai go insane, and maybe some people figure out how to use telepathy to better work with animals. But mostly we don't know. Meanwhile, the Soia decompiled the human genome, ran it through an optimizer, and recompiled into their preferred format, and then embarked on a breeding program to increase power and decrease lotai. So what we have is the first interaction between abnormally high sending and "normal" blocking.)
It would be hard to get a straight answer, and Alex probably won't ask because of the Pocket Historian, but it would be interesting to find out whether any other Loroi on the shuttle had that dream too. If so, then Fireblade is broadcasting nightmares again, and he's simply picking that up. If not, then he's got some sort of special bond with her.
But as an alternate theory, how about if the whole Tempo/Stillstorm antagonism is exactly as it seems? Stillstorm isolated the alien from the untrustworthy Mizol, and tried to use Teidar to break into his mind. Tempo's first meeting with Alex on the bridge was also what it seemed, working around Stillstorm to get Alex recognized as a diplomat by allies, so that he couldn't be made to "disappear". But when they were stuck together on the shuttle, Tempo had the time and proximity to start attempting to penetrate Alex's lotai. And she's had some results, just maybe not quite the ones she was hoping for?