Yeah, well, someone wearing a metallica T-shirt causes a different impression than someone wearing a suit. That is not exclusive of women. And people change clothes, meaning I do know people with both the metallica T-shirt and the suit. And women with plenty of clothes for plenty of different scenarios and situations.
But generally speaking, the influence you can have through clothes is limited. But for some reason, when it comes to women, there is always that angle where people judge if you look attractive to them as a "prerequisite" to everything else and, at the same time, that is used against you. For example, for some reason, some men think that looking attractive while you train, is more important than being comfortable and doing a good workout. Why? who knows. But apparently, wearing no make up to a gym where you are going to sweat bothers them. Then, at the same time, they say that if something happens to you for wearing appropiate clothes for the gym, you "are asking for it". So at some point you need to just wear for yourself and appropiate to your activity, not worry so much about what other people think, because you might be making an effort to please the wrong audience.
And let's be clear, the person wearing a suit might very well be out of place at a concert. You can't please everyone and chosing one style is bound to please some and displease others no matter which style/which clotes. The question is, why it is more expected of women to pay attention to that, than it is expected from men? And is it even a good idea to consider someone in a suit more competent than someone wearing a pyjamas and working from home? What is the actual job they are doing?
I work in IT, people wearing superhero T-shirts are common. Bosses still wear suits. How much weight do you want to put into clothes? XD