Gents, . .after reading two pages of this, I have no objection to pilots doing any of the work mentioned.. .However, it is the signing of a CRS that I have an objection to, on safety grounds.
Yes, let the crew do the work if needed (within the scope of their approvals), but then it should be inspected by an appropriate, qualified LAE the first available station for completion of a CRS methinks. It can operate on some form of permission till that time (within certain time constraints no doubt).