I guess that would quickly end up being a judgement call, since there are barely any things that aren't connected to other things, so mentioning a single fact without mentioning the others could be said to be deliberately ignoring the other.

And since we typically vote on our shared expectations, "no false claims" would probably mean everybody has to shut up. That might be a good thing, I don't know. I don't believe in the power of elections to bring about change (whatever party wins will have very little room for maneuvering), so maybe removing the loud and divisive parts of them might be helpful. Basically: if they don't help, we can at least make them less harmful.