If Canada wants any kind of integration with the EU Single Market it will indeed have to follow regulatory norms for those products or services which are the same or even stricter than EU norms, which themselves are far stricter than US norms.

Further, those products when imported into Canada will also have to follow those norms so only American products following those norms can be imported into Canada.

So if there is genuine will in the Canadian political circles to integrated with the EU Single Markets, at least when it comes to product safety (not just directly but also indirectly, for example how not allowing bleeched chicken forces better conditions for raising them, which in turn means that amongst other things there is a lower incidence of things like Salmonella in the EU than the US) things will naturally get better from consumers in Canada.

That said, this is Regulatory uniformization. For consumer rights specifically, I think uniformization only happens with EU membership, which would me that for example things like minimum warranty durations per product-class from Canadians wouldn't actually converge with EU-wide ones "merelly" by Canada becoming part or wholly integrated with the EU Single Market.