It's commonly stated that the average US citizen lives paycheck to paycheck, and it's fair to guess a large fraction of those would be laid off during this period.
If you're optimizing for strain on the healthcare system, then I suppose a 5 week lockdown makes sense. That said, unless a plan addresses providing for the millions of people who can no longer afford food and rent during said lockdown, it seems likely we'd encounter an entirely different set of problems. I don't know what the effect of a 10% contraction in GDP would be, but I think that's what you would need to weigh slowing the spread of the virus against. I'd be interested if someone knowledgable could do the math on lost years of life from 14% of the elderly dying vs such a severe economic contraction.