You're thinking like someone who, well, thinks. We've already heard that there's apparently a vaccine now. If tomorrow we hear that the virus has now killed thousands of people, including many Americans, because it was lying dormant or another reason - and if the government says it's mass producing a vaccine and is already able to begin administering it - people won't be counting how many are being vaccinated, and if in a week everyone has been they won't deem it suspicious.

They'll praise the government for its quick and efficient response. And a few days later after the virus kills us, they'll be telling stories of how mislead we were, feeling sorry that "they couldn't do more." Followed by praising the government for saving all their lives.