These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
YMMV: Shadow President
Gameplay Derailment: Maybe; it is possible to "farm" popularity by intentionally invading other countries that you know you can conquer or by repeatedly performing surgical attacks on "rogue" nations. No matter how dubious the take-over of the nation seems, there is a good chance that you'll gain a boost to your popularity. It's like Alexander the Great becoming president of the USA.
Good Bad Bugs: It is possible to hide out in your "War Room" like a bunker if your popularity is not high enough, only coming out briefly enough to give orders to correct the situation. It does not work every time, but does seem to improve your chances of evading assassination if you've become hated.
If the USA is ever about to be invaded by an opposing army, the game amusingly gives you the option to "be on their side of the conflict". This means that you have a bizarre "option" to invade your-self.
The game's logic does not seem sane at times. Besides the USSR occasionally picking bizarre target to nuke, sometimes a country decides to figuratively say "what the hell" and nuke a target just because another country did it first. Hilarity Ensues as the nuclear powers freak out and start retaliating against one another with nukes and overthrow attempts against each other.
Moral Event Horizon: Playing the game as a war criminal will make your allies feel like this towards you. That is, unless there are certain circumstances, such as USSR performing something worse in comparison such as launching a nuclear strike, in which case they are the ones crossing the Moral Event Horizon.
If the USSR crosses the "Horizon", expect to see reports of a variety of countries sending assassins into Russia, as they lower their own ethical standards to go after the leaders who are more unethical than they are. You know you've really crossed the Moral Event Horizon when a wide variety of countries try to shut you down by spamming assassination attempts on your country.