that site is wahabbi site. Don't take their views as face value.You tell me. It doesn’t make sense to me at all Wallahi and it’s something I’ve grappled with. What’s the point of Khula and giving back the Mehr if it’s the still the husband’s call at the end of the day?
Khula refers to the husband issuing his wife divorce in exchange of returning the mahr or some monetary exchange. Khula is valid only if the husband consents to the khula.
Is Khula valid without husbands consent - IslamQA
This question is related to one of my close friends. He got married and their marriage lasts for 7 years. Both husband and wife were working and however, at that time wife was earning a little moreislamqa.org
Islamqa also has a similar view. But they do note that the Islamic judge can compel him if they see fit.
So all in all, even Khula isn’t a way in which a woman can truly get divorced. It’s in fact a double loss since it’s the same as a talalq but the man can take her Mehr and even additional wealth.
I don’t understand the logic and only Allah knows best.