Does tying your hair back vs letting down your hair give off different vibes? How so?

I mostly do my hair in some kind of way, whether it's tying it back, putting it in a bun, clipping it with a claw clip, etc. But when someone said that I look better with my hair down, it actually made me consider things. It's strange because I always feel like I look better if I do my hair. Does changing how you do your hair really affect how people perceive you?