Does a woman approaching a man to ask him out set the tone for the relationship as her being more dominant than him?

I know I have done a poll where men have asked for women to approach more often and fear of rejection or being called creepy/a sexual assaulter would be the reasons why they would want a woman to approach first, but is that not setting the tone for a woman to be the one calling the shots more often if she is the one taking the initiative even in the beginning. If so, does this bother you at all?
Does a woman approaching a man to ask him out set the tone for the relationship as her being more dominant than him?
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