The number of private DC/DB plans in Canada vs. public DB plans is     48.7%  vs.  51.3% .  So yes private plans are slightly less.....however if you factor in private plans that are not DC/DB plans (RPP - registered pension plans) and are hybrid plans you would have to tack on another 800 000 people, making private plans well over 50%.    

DB plans account for 70% of all RPP plans both public and private.  So that would mean only 18.9% of DB plans are private sector (not 10%).    20 years ago that would have been 39%.   

Also just to make you happy, there is no longer early retirement with federal gov't employees hired past 2012(?...could be 13- or 14).   So don't worry they will now have to work until at least 60 and in most cases 65 no matter how many years they have worked. 

Public Service Plans are fully funded and do not need the government to top them up; so they cost you no more than a DC.  Why do you prefer the corporate model of social governance?