Cadets still have .22s, but can only shoot at outdoor ranges. One of my coworkers is an officer in a local squadron, and they were shooting out at Abbotsford this year.
I've only seen No.7s and Anschutz with cadets (and mentioned in the handbooks). My old squadron's Anschutz rifles were bought with squadron funds/donations.
Martini and Cooey 82s may have been used by cadets before, but I suspect that they were phased out somewhere along the way.