I just tell them I'd like to know the status of my application.
In the call, I'd ask for each stage's status - eligibility, criminality, and security, and that's it.
I don't think any of these helped to move my application forward, rather, I think they are following a certain checkpoint timing, but it could be dependant on individual VO.
Call IRCC and use the 3-4-1-0 method to reach an agent (I did this morning for the first time using this dial sequence and got to an agent in 22min), and ask them for each category of your case. If all passed, then COPR should be in the queue and it could be depending on your local centre's COPR printing speed.