To counter this move, a sad point of "jellyfish" and "bootlicks" is that they often will betray someone like Beria, if they believe that they can win "brownie-points" from Stalin for snitching on a potential "saboteur"....The crime Jews were to be framed for (during the Second Holocaust) was to be called "Cosmopolitanism". Basically, the fact that they kept ties with the rest of the diaspora in other countries.
But yes, I can probably see Beria having a very stern talk with the rest of the jellyfishes pointing out that, while he himself was a very dangerous man, they would all be dead soon if Stalin is allowed to live, and he's the only one with the resources to carry out the unpleasant deed, as long as the others stay out of his way.
All of the Politburo were craven bootlicks (Stalin made it so) but they did possess surprisingly good self-preservation instincts.