This is not what CIC told me on the phone. They said that the T4 and NOA of a job currently held under an OWP in Canada would count toward PoF. I agree, though, that the referenced CIC website sections seem to say that CEC people don't need it and FSW without LMIA do. This is massively unfair and without reason. Why shouldn't people outside Canada in either program have to prove they can support themselves and their families when they come? And why should people who have solid, steady jobs in Canada under PGWP, OWP, or other circumstances not have their income counted toward proving they can support themselves?
I think this is a real flaw in the system. The law requires new PRs to be able to support themselves, and that's it. How they demonstrate they can do it is up to regulations put in place by CIC, and I believe these are really faulty, unfair, and need to be changed.