Citizenship does make you Canadian, but I've never met a Chinese who identified as Canadian first, they say I'm Chinese Canadian, or an Pakistanian who does not say I'm a Pakistani Canadian, etc... and this is absolutely normal and fair. Me, I'm simply Canadian, period. What I'm saying is that for example; someone from a Greek ethnic background; born in 'Canada or not', decides they are not happy with being a minority, they can move to Greece. Chinese wanting to become part of the majority, can move to China. They have an option, but for us, Canada is the place where the majority of Canadian live. Maybe we could ask for a piece of land next to Dharamshala in Kangra?
You're an English-Canadian in denial.
Unfortunately, some use 'Canadian' as a code word for English-Canadian.
And when we talk about 'Canadian values,' it often serves as a code word for 'Englush-Canadian values.'