Fauci is attempting to stay relevant and keep his job. He is either, as you say, a shill for BP, or and I hope this is the case, a man who sees DT as a disaster and he trying to mitigate the damage as much as possible.
Thats a difficult task at best and even if the latter case is true he runs the risk of coming off as nothing more than trumps pet monkey.

I may not have a medical background, but I’m pretty good with numbers. Remdisivir’s glow fades pretty quick with a little digging.