I think outing yourself as a fascist to a single player in the first round is generally a bad play with a smaller number of players but can be ok with a larger number if you want to draw attention to yourself with the purpose of drawing attention away from other fascists or Hitler. You definitely shouldn't do this as Hitler (most of the time). But in the first round as a fascist president it's easy to claim you got 3 fascist policies and move on, no one is going to dispute it. In later rounds based on the board state you would obviously consider framing a liberal by saying you gave a choice but there's no set of exact conditions when you should do this. So I think it's erroneous to say that statistically the chancellor is a fascist in situations when a fascist policy is played and the president claims a choice, first round or not. It's all circumstantial.
I agree with this.
Also, it is almost never a good idea to lie as a liberal.