I cannot recall at what point you entered this conversation.
In any event, this whole issue started when I pointed out to someone that during New York City's peak influenza week, they had 4,000 influenza patients in the hospital, and NO ONE was panicking about enough ventilators.
Since NYC has 30,000 of the USA’s 120,000 COVID-19 infections, and since infections are surging ONLY in NYC, there should be no problem getting ventilators from the rest of the country to NYC, if, in fact, they actually need them.
Instead, Trump wants to build 100,000 new ventilators, which is absolutely crazy.
I haven't had time to dig into the math of how many ventilators are likely to be needed using the models you cited, and the previous modeling by CDC and the various state health departments.
I suspect President Trump with his natural political skills realizes that trying to explain to the public how allocation would really work is not likely to work, particularly given hostile governors and the press. A simpler solution is just flood the requesting states with more ventilators than they can possibly need, along with enough masks, gloves, etc. to bury Manhattan in them. (Of course innovative nurses and doctors are already inventing ways to safely conserve PPE).
Then, nobody can complain that President Trump didn't provide the equipment they needed. Since other countries will want them too, we can just sell or donate the extras or put them in storage for the future. Plus it gets some manufacturers back to work.