Do the models the CDC, Dr. Fauci, etc. are using to recommend social distancing presume that eventually nearly everyone in the population will get COVID-19, and the point is just to spread out the infections over time?

Or is the presumption that social distancing and extended lockdowns will prevent a sizable portion of the population from ever becoming infected?

I've seen the Wash. Post animated model, which seems to indicated that social distancing will prevent 100% infection, but I'm just wondering what the expectations are of the models that are informing the state and federal social distancing policies.