Not accurate, but... not not accurate...
Vaccine Companies: Hey, Feds. We got 16 million doses for each state. We'll hold back half the doses for now and give them to you in three weeks for dose #2. Here, you can give the states right now 8 million doses each.
Feds: Hey states, we got 8 million doses for you, but we'll hold back half and give it to you three weeks later for dose #2. So, here's 4 million doses.
States: Hey citizens! we got in 4 million doses, and we're putting aside 2 million doses for long term care facilities which we promise to get around to. But for the rest, we got 1 million doses because we're holding back half for dose #2.