Interesting thinking regarding the CC.
CC - "Captain, there are flames coming out of the left engine"
Captain - "Leave me in peace, I'm very busy dealing with a right engine fire"
CC inputs are often valid and experience has sadly shown that ignoring them, especially in high pressure situations, is a mistake that is only identified when its too late.
Involvement from the CC, if managed properly and in the right organisational culture, is only a positive thing. If the CC are going straight to company first, I might be questioning the cultural relationships between the FD and CC as well whether the CC training is preparing them properly for the way your company wishes them to act.
Out of interest, Sir Niall, if you get to read the reports first does that mean you filter out the ones you don't like? Or am I inferring too much from your last sentance.