Let's say that the CA reports to the CRAs on the end of the month...Period. They tell you that they are going to accept the PFD on the 10th of the month. So, that's three weeks before they actually report to the CRA. Now, the CRA has to get around to reporting the information. How long might that take? A week or two? Easily.
The process is what it is. There is no way to gauge it. It really depends upon who you are dealing with. For a more exact science, ask the CA exactly when they are going to report to the CRA and then add a week or two for the CRA to report it.