Is it wrong for a man to have an issue if his wife doesn't want to change her last name after marriage?

In some cultures, married women don't change their last name, but I would have an issue with that. The wife inheriting her husband's last name after marriage is an American tradition, and it's a tradition I want to live by. I want us to be Mr. and Mrs. Smith, not Mr. Smith and Mrs. Johnson. People would think that our marriage is unofficial and we would constantly have to explain the reasonings. Also, I'm old-fashioned when it comes to relationships. I wouldn't harass her or force her into it or anything, I'd just have a problem with it.

By the way, Smith is not my last name and Mrs. Johnson doesn't exist, their just sample names I used.
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Is it wrong for a man to have an issue if his wife doesn't want to change her last name after marriage?
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