Absolutely, and I think you are right. Makes perfect sense looking at last 6 months tracker data and applications.I think everything is sent out at the beginning when they receive our application. Besides CSIS running the security check, IRCC gets info from CRA regarding our taxes paid, and entry/exit data from CBSA. They will also validate the language proficiency proof we have sent in. So I say LPP takes time to get the data in and reviewed. I don't think they are completed before we get the test invite...only the background check as that's a quick return from RCMP. For example, I had to do a RCMP background check for work and my results were back in 1 day.
Hope what I said makes sense.