This is a knife that cuts through political issues. If your society has become so political that it can't even imagine the thought of restricting travel to prevent global pandemic, well, if
nothing else consider that after the pandemic rages through a country it is fairly likely that said country's survivors are going to take a very dim view of open borders for a long time. If nothing else, consider that this is the sort of thing that will destroy any willingness to have free travel in the world.
Similarly, no matter how free a country may be, there are rules about quarantines. You can be involuntarily subjected to one, and that's that. Your Constitutional rights or whatever your country may have are gone for the duration.
This goes below politics and below the blustery winds of the day all the way down to one of the foundational principles of society, which is, you won't have a forum to argue about how open borders should be in your society if you don't have a society at all because it got sick and died. Despite superficial similarities, this isn't about immigration debates or open borders or xenophobia or any of those hot-button issues. This is just, can you take basic, "lizard-hindbrain of society" actions to protect yourself or not?
I don't know that this particular outbreak is there or not, but it's only a matter of time before some outbreak of something is.
So the answer is, everyone should prevent people from potentially affected areas from coming in to the country for the duration of the outbreak. If you fail at this task, no amount of rhetoric, no amount of voting, and no amount of mocking your political opponents with various epithets about how phobic they are will do so much as save a single life from the resulting outbreak, because those are all category errors. Epidemics are not political matters. They are way further down the societal Maslow hierarchy than that.