Spain is allowing non-essential workers to go back to work this week. Restaurants still closed. There numbers are nowhere near zero.
This is how it will start here. Most importantly, getting as many people back to work as possible. Then restaurants can start to open - maybe with new rules on how many people at one time.
I do not think we will be waiting for cases to get to zero.
I predict,

, Disney will be able to have more than 10 people working at a time come mid-May. They will start getting the parks in shape for a mid-summer reopen. Obviously they can't possibly enforce social distancing, so something else will be decided upon. That, I don't know.
I can only think those wanting everything (not just Disney) to stay closed must not be in fear of any economic repercussions.
As for what local Governors are saying - they are all in office. They want to stay in office. Right now public opinion is still one of fear and wanting to stay locked down. Once that opinion starts to sway in the other direction, watch how fast the Governors/Mayors change their tune.