I don't think I would have ever liked the central conceit of this episode. That is Lucifer jumping inside the US president. The decision does not really track with the show's edge of society, drifter vibe. The POTUS is too power and too central in real life to be something that Supernatural takes on. Furthermore, the show never-a few potshots aside-overtly deals with politics at all; any themes dealing with the political are concerned with the basic structure of American society and not electoral partisanship. When the show is topical-as in "It's a Terrible Life!"-it is never done to take a position per se but to try to ground the Winchesters in lived reality. The choice of president feels off for the show in general, let alone the bizarre political era we are in.
This episode does not deal with 2016 election per se but given its ill timed release (in Dec. Of 2016) along with the strong implication that the fictional President is a Republican the shadow of Trump, Trumpism hangs over the proceedings. In that way the episode does not really work. The scare of the episode is the Devil is the president but that rings hollow given who held Article 2 power at that time. The development cannot unnerve in the show because the reality was already unnerved. This flaccid vibe remains even watching the episode in the first few months of the Biden administration.
I think most of these issues could have been resolved by having Lucy jump into a governor instead of POTUS. But that ship sailed. It is rather unfortunate as this episode is so key to the Jack years and the other basic plot development in the episode greatly focuses the remaining seasons of the show.