To some degree he is right, in the beginning, but very quickly Trump said we have to open up. It was mostly blue state governors that wouldn’t open back up and caused problems or big city mayors.
Trump tweeted on March 22, (That's six weeks before the belated letter from the 600 doctors) the following....
Donald J. Trump
@realDonaldTrump
WE CANNOT LET THE CURE BE WORSE THAN THE PROBLEM ITSELF. AT THE END OF THE 15 DAY PERIOD, WE WILL MAKE A DECISION AS TO WHICH WAY WE WANT TO GO!
11:50 PM · Mar 22, 2020
Trump wound up recommending following the guidelines through April if I remember correctly. After that some of the governors started to open up.