Indeed! OP, you’re right that life will be easier for her but in some ways it will be harder work.
I was a very shy, awkward child but as an adult I’m much more comfortable with myself, am quite chatty and am particularly outgoing and confident at work (although I do still suffer from some social anxiety, it seems to show up more in my personal life).
I work in an area that attracts a lot of quiet people - some are introverted, some are socially anxious, some are neurodiverse (and yes I know that doesn’t always make people shy but sometimes it does). I do my best to structure meetings and activities (if I’m running them) in a way that includes and encourages everyone to contribute, and doesn’t just favour people who can easily chat and think on the spot. I have a reputation for being kind and inclusive which I’m proud of.
But you know what? It can get really exhausting. It’s exhausting often having to start a conversation while not talking too much and encouraging others to join in. It’s exhausting having to judge when to go ahead and speak first, and when to hang back to encourage others.
The shyer, quieter people are working hard in their own way, but they perhaps don’t see that it’s also hard work for people who aren’t like them - as you say, you only ever saw it from your own point of view, and as per posts like @Fizbosshoes about finding leader types annoying. You assume that being that type of person is easy and takes no emotional energy. Sometimes I’m exhausted and wish others would step up with this stuff more.
So I think there’s lots to teach your daughter here, but please, understand that it takes some emotional energy and skill to navigate around shyer, more introverted people and help her learn that if you can.