Looks like you have no data supporting this argument. You also have to look at the economical impact of doing nothing. Hundreds of thousands of member of society dying/crippled/in hospitals (who's paying for that?). Add to that, regardless of shutdown, tons of people would be so scared of public interactions that they would stay home anyway, and also end up impacting the economy. Making the argument that there would be no economical destruction from doing nothing seems a bit weird.
What proof do you want? I figured everything I said was common sense. 30% unemployment isn't outside the bounds of possibility and poverty has been repeatedly proven to have a much higher mortality rate.