No market can respond instantly to changes in demand. Nursing’s lead time is less than many other goods, just look at how long it took Tesla to ramp up production.
What’s illustrate is the supply of new nurses isn’t dramatically increasing suggesting the market is roughly happy with their current numbers.
Free markets don’t instantly respond to changes in demand, but they do respond to price signaling. The fact that the number of nurses isn’t increasing dramatically suggests the market is reasonably happy with their numbers.
NYC’s housing issues can’t get solved by people trying to toss money and manpower at the problem if the city doesn’t let them. Regulate away the free market and you don’t get to blame the free market for the resulting failures.