I don't think any Papers Please player will be entertained by watching people pressing buttons fast enough in cutscenes and stamping slowly and boringly inbetween. So I came up with 2 ideas.
First one is "the 20th succesful stamp". When I challenge myself, I stamp above 20 but better and more challenging numbers can be selected(for example 25). Getting no citations for less stamps or getting citations for less time between each stamp will make the speedruns different from each other and this will bring fun.
Second one is "You make Arstotzka proud." where player must make Dimitri say this. There is lack of "no citations" speedruns and also they are boring to watch for a whole 3 hours. Dimitri comes at day 9 and player must make no citations for Dimitri to say that. That way speedrun has a valid goal and don't need to be as long as ending 20.