I don't want Canada under the EU governance system, and I don't think it's necessary to join the EU as a member just to have close and mutually supportive relations. Unless the Conservatives win today, we're still quite aligned with the EU in terms of values and commitment to similar international standards and goals, so I think we can form many trade agreements, cooperate on defense, and support similar international institutions, but just doing it with Canada as country that is a friend of the EU and not a member of the EU.

Not speaking for OP, but here's what I wrote in another comment:

But I would be squarely against closer political and monetary integration with the EU. We absolutely do not need the Euro or the Stability and Growth Pact, and we do not need the various Orbans, LePens and Melonis, or the various debt-phobic Germans and Dutch having any kind of veto over our policies or say over our politics. The Norwegian, Swiss and Icelandic models are good models of EU-collaboration, and we can of course develop our own. We can be very very very good friends, but just like we don’t need to be anyone’s 51st state, we also don’t need to be anyone’s 28th member state.