Read the page you just sent me. I challenge you to find any mention of any country other than Canada.
Yes, Canada is a monarchy, yes, the Queen has the ultimate power in theory, but the head of state is the Queen of Canada, not the Queen of the UK.
I'll repeat myself, them being both the same person is incidental, if you think the fact Canada being a monarchy means it's not independent, does that also mean the UK is not?
I think you're being overly reductive. The Queen of Canada and the Queen of the UK, being the same person who wields Sovereign authority over both, cannot be independent of herself.
Yes, Canada is a monarchy, yes, the Queen has the ultimate power in theory, but the head of state is the Queen of Canada, not the Queen of the UK.
I'll repeat myself, them being both the same person is incidental, if you think the fact Canada being a monarchy means it's not independent, does that also mean the UK is not?