That’s such a good idea. It demonstrates to the audience that Boolio was executed as a consequence of leaking Palpatine’s discussion with the first Order. Alerting the resistance to his existence and risking the secrecy of The Final Order operation. This gets rid of a huge problem in TROS, that Palpatine announced his plans to the entire galaxy before even executing them. As if he announced that Order 66 was going to happen prior to all the pieces being in place.
It also shows that the high command are perhaps trying to hide their allgience to Palpatine because they shut off the transmission just as Kylo arrives.