Is this an accurate summary or restatement?

1. A system of morals should endorse its adherents teaching it to other people; it should not be exclusive or socially self-undermining. You should not think, "I mustn't teach the true morality to those people, because the world will be worse if I did."
2. People who learn a system of morals should subsequently behave better, according to that system's own evaluation; it should not be personally self-undermining. You should not think, "Wow, I wish I had never learned about the true morality; since believing it, I've become worse at what it says I should do!"
3. A system of morals should actually talk about actions, not just about believing that system; it should not be solafideist.
4. A system of morals should not be for its own sake.