Not quite. In 1912 Canada did propose to contribute to the construction of 3 dreadnoughts to be named, reportedly,
Acadia, Quebec, and
Ontario, as proposed in the Naval Aid Bill of 1912. These would be paid for by Canada, operated by the RN, with an accelerated training program for Canadian sailors, to be turned over to the RCN if and when Canada was able to actually operate them. This was a proposal by the Borden Conservative government. It was the guiding principle of the Conservative Party that Canadian naval policy would support the home country.
The Wilfred Laurier Liberal government (who was now in opposition) had intended to build a (relatively) independent Canadian navy, with 4 Bristol class cruisers and 6 Acorn class destroyers split between both coasts, as ordered in the Naval Service Act of 1910. It was the the guiding principle of the Liberal Party that Canadian naval policy would build an independent Canadian navy. The Borden Conservatives killed this procurement when they were elected.
The two parties tended to scrap the other's policy when the government switched parties. Quebec, which was mostly represented federally by the Liberal Party, generally opposed militarism, imperialism, and the associated taxes. After acrimonious debate, the Conservative Naval Aid Bill of 1912 passed in the Conservative majority House of Commons, but died in the Liberal dominated Senate.
The Canadian Queen Elizabeth class dreadnoughts were killed by Canadian domestic politics, not the war. As it was, in peacetime, Canada could barely crew the two old training cruisers,
Niobe and
Rainbow, so would have had a really hard time crewing three Queen Elizabeths.
Toward a Canadian Naval Service
www.canada.ca
Official history of Canada's Navy in the Second World War (WW2). This first volume covers the early history of the Naval Service of Canada.
www.canada.ca