I'm a criminal myself, thus I only have experience from the criminal/gangster side, but now I know that the issue is being experienced on the Police side as well, after having confirmation from a Police Chief. My suggestion, as the title says, is a simple yet very effective solution to players ignoring messages of CB and PCs inside CEs. It's about the addition of [Boss] name tag for Criminal Bosses, and [Chief] name tag for Police Chiefs inside the Criminal Event when using local chat, just like how it is when they use team chat.CEs are very dynamic where CB/PCs may sometimes have to "spam" instructions and calls, that's why they prefer using the local chat over the team chats most of the time while leading their teams to victory. Not to mention that some players, who are not attending/outside the running CE might find "Rush" "Hold" "Crouch" etcetera messages annoying and useless, and some CE attendees are unaware who's a CB/PC, and who's not, and sort of disregard their messages. That's all for now, I myself see no drawback in this suggestion, which will not only make CB/PCs more recognizable inside CEs but also play a crucial role in the Criminal Event results.
It was suggested once couple of months ago. I think it was rejected by community or admins. I am not really sure but right now I can only remember that it was rejected once. I vote negative because it will not be used after 2-3 weeks of its addition because it'll be a leak to the otherside which is the enemy. Using teamchat instead of localchat is basically no difference from my point of view. I vote negative.