Yep.
Then the other thing too is, it's not that states aren't getting enough vaccine doses, but rather they are still suffering from the lack of staff / volunteers to support with the vaccinations, as well as easily accessible sites where individuals can go to be vaccinated. I know someone in Michigan who tried getting an appointment for days. They were eventually able to get one, but not without going through a hell of a time.
Given the situation and the choices available, I do think the Biden's administration's response to instead help Michigan distribute the supply it already has faster (by sending more vaccinators) was the right answer.