I think Trump's admin would have handled it better, but that is not even what I am arguing. I am arguing that the way Biden handled this has sucked. I think Obama would have handled better. I think Clinton would have handled better. I am arguing that it would take a whole bunch of effort to handle this more poorly than Biden. I also would argue that Bush, Clinton, W., and Obama would have been much more out in front of this screw up than Joe has been.
I don't think it's outrageous to suggest that Bush, Obama, Clinton, or hell, even President IUCrazy2, would have handled it better. None of them suffer from the single-minded desire to get the hell out of Afghanistan at all costs that Biden and Trump seem to share, and I do think it's possible that strong desire might have colored Biden's decision-making, just as it likely colored Trump's re: Doha.
But, when push comes to shove, none of these tactical decisions were made in the Oval Office. All tactics, strategies, etc. were developed by people at all levels of the military and intelligence bureaucracy, and the president's job is really just to sign off on them. So I'm guessing any differences in these other possible hypothetical administrations would have been relatively minor. What we saw unfold this summer was probably written back when the surge failed to completely destroy the Taliban, and NATO began handing operations over to the Afghans.
Of course, there are other things that we'll simply have to wait to judge. These stories about the level of coordination between us and the Taliban on security - particularly the ones about giving them names of people who should be passed through the checkpoints - are troubling, but the results will tell. If it turns out the people on those lists were passed through the checkpoints and included among the people who escaped, then that's one thing. If it turns out there are names of Afghans on a list somewhere who didn't get out, and a few months from now, the Taliban goes around and collects and executes those people, then that's another thing entirely.
Ironically, Taliban 2.0 may be someone we have to get into bed with reluctantly, in order to properly fight ISKP, which is sadly poetic, since ISKP is made up of Taliban castoffs and really only exists as a result of our defeat of Taliban 1.0 in the first place.