> In other words if you slow down the rate of infection enough you could fit that 94k into the 1k of beds over time. But if all of them get sick on day one, you are fucked.
Average ICU stay is about 2 weeks, so that's 3.6 years to filter everyone through.
Social distancing is about slowing down the spread, not eradicating the disease. What will eradicate it one way or the other is the immune system or death: once you’ve had it you are unlikely to get reinfected or you will die. To avoid the latter case you need ICU time or eventually a vaccine. Also consider that buying a month of time means an extra month to provide more ICU beds, better testing capacity, better understanding of what is effective prevention, etc.