We don't know that for sure, and it has 7 different (known) strains already. Why would this be any different than the flu in that regard?
Besides, we already know there are a lot of ridiculous anti-vaxxers out there who will refuse the vaccine regardless. And a lot of those people are elderly or at risk!
The longer this situation goes on, the less palatable shutting down huge chunks of society seems to me to be. If this is going to be endemic, which a lot of signs and common sense reasoning points to, then the management of the disease needs to change.