They don't need to because you always catch them. If the team follows this sort of leadership example, you'll end up with a team afraid to experiment, and arguing all day about who's right. Your example is powerful. Your staff will follow the model you set for them. By contrast, the most successful learning states are curiosity and interest.
Adults learn more when they are curious and interested.
Asking unanswered questions is a good way to lead people into this state. Leaders who model curiosity and interest, and openly discuss their mistakes and their learning objectives are, by their simple behavior, fostering a learning culture. Let go of being the expert. It's too much hardwork. Instead, ask intelligent questions.