Of course cases will increase when people leave their homes. But have the hospitals been overwhelmed in any of the states that started to reopen several weeks ago? No! In that case the lockdowns have served their purpose.
The authors of this article are arguing more from a pro-lockdown position than from an anti-virus position — they seem to care more about defending the lockdowns than they do about actually solving the problem, even though it’s becoming obvious that new solutions, like partial reopening, are working.