I think it's more about matching their energy, especially at bars and clubs. You can't talk to a high energy girl when you're at a low energy (calm) state. She wants to have crazy fun, while you're wanting to be more quiet.
The good news is that you can wait for her go into a lower state. She dances or chats with all of her friends. Then when it's a bit later in the night, she'll probably start unwinding and calming down. Then you can go talk with her in your normal state.
But, if she's an extrovert AND a socialite, then you'll probably need some social proof to back you up. Socialites -- girls at the top of the social ladder -- want to date other guys at the top of social ladders. So, you can either work your way into the group and slowly build and show value, or you can socialize with a bunch of other men/women in the club/bar (or with friends that you bring) to build up and show your value. Then finally go talk to her. If you did a good job, she'll probably be intrigued by your social status ("Here's a guy that's just like me, a social butterfly. I'm also intrigued; he seems so well-liked by everyone. I want to talk with him.") This can be a hard path to take. Then of course, you want to talk to her just like any other girl, relate to her, don't put her on a pedestal.
I think you can do it, but you'll need to be adamant about socializing and working on yourself (your social skills). You'll need to truly be passionate about pursuing these type of women.
The last option is the easiest, but it's an unknown. I've met extroverted socialites doing day game, but the problem is knowing whether they're that type of girl or not. You see a random girl just shopping or getting coffee.... she could be bouncing around or be completely drained and just trudging along.... and both can be the type of girl that you want. You won't really know until you start talking with her, and she starts saying, "Oh yeah, I go out with my friends all of the time, I have so many......blah blah blah." But even then, she might not mention this because this can scare men off. This is probably your easiest option, but you'll end up dating a big mix of shy to extroverted women. I mean every type of woman has to shop for groceries, right? So the chance is always there for any type of woman during day game.