If there is reason to believe that there are disagreements in actions to be taken, then messaging everyone to get on the same page is ok. If someone is actively throwing someone under the bus unceremoniously & quickly, then one should prepare an exit strategy & a strategy for working around the problematic coworker as a cautionary step because the spinner could potentially stop at oneself. If it is more than one problematic coworker, then the exit strategy approach becomes increasingly pertinent.
I think it is self-defeating to do other than this approach in general, and far from naive.