We haven't done formal recitals or competitions, but #1 sings for church in solo and ensemble, and brings down the house at summer camp. That's the child who's a natural performer. #2, on the other hand, is very reluctant to play in public, even in front of a fairly small group of friends--unless a member of the family plays too. Totally different scenario when a parent or older sib is on stage too.

Maybe performing with a close friend, family member, or trusted teacher might be a good stepping stone?

...pronounced like the long vowel and first letter of the alphabet...