Okay, but propositions are positive, they state a way that the world actually is. The world is positive; we believe in a positive world. The proposition "gods don't exist" is the proposition "gods exist" negated. Negation is a means of expressing something about real-world propositions: that they are false. Negation doesn't create something new, it doesn't create a negative part of the world, it's just the real-world negated.There's also a real-world proposition "gods don't exist". You don't have to believe that proposition just because you don't believe the proposition "gods exist".
What you call "the real-world proposition (truth) that gods do not exist," I call "the negation (falsehood) of the real-world proposition that gods exist." Which is better English (language should reflect the positive).
You're letting how you say something define how you see the world.