There's very little reason to believe that the reassignment will actually come from teams working on either of those two problems. This argument is a really long stretch - especially because there are other ways of meeting the deadline than reassignment to the FOIA office (hiring contractors, adding employees, using interns or HR folk) - picking out a highly specific and avoidable method of executing the FOIA to attack the idea of doing the FOIA at all is...questionable, to say the least.
Moreover, as a citizen of the US that has paid for the R&D of those vaccines through my tax dollars, I have a right to see the results of that research. This shouldn't be a controversial opinion. (it certainly wasn't when the House passed the Freedom Of Information Act 306 to 0 in 1966)