Current or previous qualification by the Canadian Welding Bureau (CWB) in conformance with the requirements of the Canadian Standard Association (CSA) Standard W178.2, Certification of Welding Inspectors, is an acceptable basis for qualification in accordance with D1.1, however the Engineer could specify otherwise in the contract documents.
As a Design Engineer, I asked the same exact question several months ago (not on this site). Finally, went directly to CWB, and they very kindly sent me a 27-page Clause-by-Clause comparative review between D1.1:2004, W59-03, and W47.1-3. Not sure if what they sent me is copyrighted material. Try giving them a call and ask for a copy.
Keep in mind, however, this review was prepared by CWB and in many instances they indicate a paragraph in W59 and/or W47 is equal to D1.1. This means that the contents of the particular paragraph are similar but the wording is different. To me, this means they are not the same, at least that was the conclusion we reached.
Overall, though, a very useful piece of work.