LOL! Whether Biden continues with Trump's approach of letting those closest to the distribution resources decide how to deploy them or imposes an umbrella of semi-ignorant Federal bureaucrats, ultimately local people will determine by their actions the efficiency or inefficiency of distribution. Biden populated his Covid Task Force with pretty much the worst possible people for managing a distribution process.
What Biden should do is detect and take care of bottlenecks and obstacles where Federal action could provide solutions. But that isn't Federal control and wouldn't enter Joe's or Kammy's or Dems' minds.