The anxiety we are talking about here is exactly the kind of anxiety you _don't_ want. If there was no vaccine in the short/midterm future people would probably (and somewhat rationally) assume that everybody (or rather 60%) will get the disease at some point, which would mean that the reward for behaving cautiously now is a lot worse (at least on an individual level, it would still be necessary not to overwhelm hospitals or to protect certain high-risk-groups).
You might be inducing a "so-what" mentality where people don't want to refrain from going to bars and restaurants just to not catch a virus that's going to get them at some point.
