Girls, is it promising date-wise for a guy to focus on a girl's introverted side, like be there for her when she feels down?

She would be out there and talk to people in her extroverted times, but also withdraw as soon as she senses bad memories of e. g. her last relationship or such. And he would keep his distance from her as long as she wants to have fun and feel good, mostly be there for her if she seems like she needs someone to talk to or needs to be cheered up or supported in any way.

Girls, is it promising date-wise for a guy to focus on a girl's introverted side, like be there for her when she feels down?
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