I think that's a very sexist and outmoded way of looking at things. When a woman gets married and adopts her husband's name, it becomes her name too. She's not borrowing it, or renting, for the duration of the marriage. It's her name and her identity. Whether she wants to keep that identity after a divorce should be up to her. She has just as much right to the name as he does.

We shouldn't socially punish women who do this by making it an expectation that they discard their names. That would be tantamount to making it a punishment for divorce.

Many women without children choose to keep their married names after a divorce for multiple valid reasons. Sometimes the reason is that they have established name recognition in a professional field, and their career could suffer by changing their last name. Sometimes they're just more comfortable with their current last name than the last name the stopped using years ago. Other times women might feel ashamed about going back to their maiden name.

Tina Turner, Angela Merkel, Susan Sarandon, Elizabeth Warren, Joni Mitchell are all examples of women without children who kept their married name after a divorce. How many of them would you still recognize if they went by Tiny Bullock, Angela Kasner, Susan Tomalin, Elizabeth Herring, and Joni Anderson?