All the President's Men: any theatrical docudrama produced quicker?

The Woodstock Music & Art Fair occured 15-18 August 1969, and the film came out 26 March 1970, about 220 days.

May 19, 1992: Amy Fisher shoots Mary Jo Buttafuoco, wife of Joey Buttafuoco, with whom Fisher had been having an affair.

January 3, 1993:[ul][li]CBS airs Casualties of Love: The “Long Island Lolita” Story, with Alyssa Milano playing Fisher[/li][li]ABC airs The Amy Fisher Story, with Drew Barrymore playing Fisher[/ul][/li]
So two movies, admittedly both made-for-TV, aired less than eight months after the triggering event, as it were. These don’t match the OP’s criteria, but I thought were worth mentioning.

Oliver Stone has to be at work at it, right? W. came out while Bush was still in office (but it only covered up to the beginning of the Iraq invasion)

Despite flopping hard, THE FIFTH ESTATE – you know, with Benedict Cumberbatch as Julian Assange, doing the whole WikiLeaks bit – got a general theatrical release.

They did a long form interview with Bill Simmons where they discussed how they completely rewrote that week’s show when Trump was elected.

There was actually another Amy Fisher movie that aired before those two: NBC’s Amy Fisher: My Story, with Noelle Parker as Amy, was broadcast December 28, 1992. (It was later retitled Lethal Lolita for its video release.)