Why doesn't Canada have a Union Jack in their flag like Australia and New Zealand?

We wanted our own identity, Canadians love their flag, it is one of the most recognizable in the world. Much more so than Australia and New Zealand. There are some individual provinces in Canada that have the Union Jack in their flags. The old flag was dated and predictable. There is no doubt where an individual is from when they see this Canadian flag being proudly waved or worn.