I can probably answer your question, but it is worded unclearly. Can you consider rephrasing and elaborating?

There's a bunch of things I can say about Vimy Ridge to be quite honest. Vimy Ridge was a collection of attacks, and it just so happened that the Canadian offensive here was actually successful. Most likely, the Germans didn't distinguish Canadians from the British, and simply saw them as apart of the Empire, not as an independent Canada, which we were not. This sentiment continued decades later, where Americans making treaties (Such as the Halibut Treaty) with Canada still associated us with the UK. You can read C.P Stacy's "Canada and the age of conflict: a history of Canadian external policies" volumes 1 and 2 for more on this.

Basically, Canadians did well on their offensive, but that was mostly chalked up as a British victory.