If / when there is a vaccine for COVID-19, I see it being quite possible that countries would require proof of vaccination to allow people in. Heck, I would not be surprise if countries even started requiring vaccination against the "common" flu. And until there is a vaccine, I'm not betting what happens.
We don’t see this with regards to TB except for immigration purposes so I doubt it will be the case for COVID-19, if there is a vaccination.