If a player is dismissed for something o viol to everyone in the ground, e.g. Violent Conduct, the referee and I will be discussing it in detail as it is a Match Changing Situation.
At that point, the referee will be asked to go through their view of the situation, which we as Observers use as the final check. The outcome is then confirmed as both of us agreeing or having differing views, which is then recorded on the written report.
I appreciate that your latest windmill to tilt at is the Observers' ways of working, and you won't accept anything
@RustyRef or me say on the subject, but others reading this may find it helpful.