If two BCFs can be fired off down the back then it is my guess that long before it was time to fill out the tech log most of the CC would have known. The fact that no one saw fit to tell the captain, particularly the CSD, indicates to me that a serious cancer has set in to the lines of communication and the chain of command in that company and urgently needs to be sorted.
One CC not knowing the form is possible but an entire crew is unacceptable, in my opinion.