But I 100% agree you do have to explain and you do have to eat your own dog food and try not to be too much of a hypocrite. They need to see you believe it yourself. And try not to lie with tall tales. I think every time a non life threatening absolute statement is proven false by experience they will lose trust.
I read or heard once that if you always told your child to put a coat on before they have actually experienced the cold they naturally don’t understand why they need it and will resist wearing one. But if you let them experience the cold and involve them in the thought process they will want to put a coat on. “Let’s see how it feels outside? Oooo it’s cold! What should we do?” Etc etc. I’ve tried to do that with most things (within reason and when applicable) and I think it gives them more confidence and understanding. Like the whole tell/show/include thing. The more experiences like this where you proved to be right the more they trust you even when the disagree.