Spinwing, the classes you refer to are indeed airworthiness classifications, but they apply to continued airworthiness, not type certification. CASR 29 deals with that, but effectively refers the reader to FAR Part 29.
Part of the confusion arises from the fact that the procedures used to demonstrate the Cat A performance standards - and published in part 1 of an RFM - are often used to comply with the PC1 requirement imposed by OPS-3 ( and ICAO Annex 6.). Further complicated by the previous use in the UK of the term Group A for the operating standard!