That's fair enough.
If a foreign country were to enter a red notice, arguably they say they're willing to arrest this person if they were here, but they believe they're in Canada. That is not enough for us to arrest them. We would receive their request. It has already gone through Lyon and been vetted there to determine its legitimacy.
Once it comes to Canada, we then do another vetting process to ensure that we have all the relevant information. Even then, we would simply confirm that person is in Canada and we would not arrest on the strength of a red notice. We would simply know they were here. Of course it would alert us to the fact there's a potential criminal or threat within our midst, so we may conduct our own investigation if we have a reasonable suspicion to believe a person has committed an offence here. Otherwise, if responsible to do so, we would advise the foreign country that, yes, the person is in Canada, please contact the Department of Justice to begin the extradition request.