The correct answer to this open question is the following.
Yes, that slogan is an oversimplification. People could misunderstand the real meaning of what they are trying to say.
That is precisely why slogans are powerful because they transmit one idea in few words. But these words have to be careful though of to make an everlasting impact. And that is the job f many creative people who work in political campaigns.
Yes, I can you think of any political slogans which have stuck in your mind. For instance, the recent campaign slogans of Joe Biden and Donald Trump.
Former President Trump's campaign slogan that stuck in my mind is "Make America Great." It was a good slogan. Short, powerful, with a deep meaning. It worked up to a degree. And as far as I'm concern, it is the name of an entire political movement he is leading.
Regarding Bidden's slogan, "Battle for the Soul of Our Nation," I think is corny. Not so real. It tried to inspire a metaphysical meaning that sounds poetic, not realistic.