I really don’t think that we need the broadcast in the movie. The dialogue is just really stiff and sounds more "trailer"y than something you’d actually hear in the film. Add that with the unconvincing reaction shots and I think the whole thing just comes off pretty flimsy and stunted.

I think the “somehow Palpatine returned” thing sucks in the context of the theatrical movie, but its issues have largely been corrected with what Hal has already done. Palpatine’s return isn’t in the crawl any more, and we now get him showing up initially with Kylo. From there, it makes sense that maybe the First Order spy has been leaking information. Also, Palpatine has a bunch of clones floating around in tanks, so I don’t think the movie really needs to explain much more about him. Poe’s line doesn’t really play as a throwaway to avoid logic, it plays like a leader trying to mince words about a difficult situation and prepare for retaliation, a very Poe like thing to say. To him, it doesn’t matter why Palpatine is back, what matters is stopping him.