When dating, how important is it for your value or worth the tradition that the guy is set to be the one that pays?

Have been dating people from different cultures, and for one woman it was almost offensive if a man was going to pay, like she could earn money and pay for herself, whereas another sees it as a turnoff if splitting the bill.

When dating, how important is it for your value or worth the tradition that the guy is set to be the one that pays?
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