"Serology in NY has shown us that we have maybe 1/8 of the population with antibodies as of a few weeks ago,"
Perhaps 15% of NYC has been infected, but not the US as a whole. And the efficacy of the antibody tests has proven problematic.
And good like trying to control the rate at which you "exposed much more people to the virus." As we've seen, all it takes is a few superspreaders to blast your "controlled" exposure into an exponential growth rate.