The virus is already essentially everywhere. Closing borders in January might have done something but now I can't imagine there will be much of an effect.
In the past few days, Singapore and other countries have announced they are also adopting this strategy. Singapore too has a complex highly-interdependent border situation with neighboring Malaysia and has to make an exception there as well.
I'm worried about the U.S. closing state borders (land and air), and what that might mean for supply chains. I hope it doesn't come to that.
For one thing, your setup is bad. You simply do not know that to be true.
Your premise is some kind of equality of distribution, which is never going to be the case.
Simple scenario: how about if the US ends up having 20 times as many cases as Canada, while having only 10 times the population.
Cultures - specifically the people that derive from them - are all different. They all behave differently. They will all comply with or violate quarantines differently. They will all spread, or not spread, the virus differently.
Compare Italian touching culture with Germany. Very different cultures.
It's also better to not be responsible for any more foreign citizens than absolutely necessary, during a time of panic, quarantine, national emergency. We do not yet know how bad this is going to get.
I don't understand why people keep repeating the terrible premise that it doesn't matter, when it's so incredibly obvious there are numerous important ways that it matters. The experts are calling for these travel lockdowns, and they're doing it for good reasons.
Since it is not avoidable that at least one person on a flight is infected, you have to quarantine each passenger.