What you are suggesting would cause a much greater panic which would damage the economy more. Not only will people perceive a greater chance of contracting the virus, they will doubt the ability of the healthcare system to treat them if they become sick.
I predict Sweden will take stronger measures as the virus spreads.
People should doubt the ability of the health care system to treat them. Skepticism is healthy and often right. No one should want to get a disease or want to end up in the hospital. Everyone should take personal precautions against contracting an illness.
None of that justifies a lockdown. These are issues of personal responsibility.
The economy will certainly be impacted by individual changes in personal behavior but not as badly as under a blanket lockdown. If individuals and businesses are allowed to find creative solutions to dealing with the virus, the economy will be much healthier.