I think you’re reading into it quite a bit, and incorrectly.
The last name exchange historically has been done to signify a transfer of possessions and associated wealth if that’s the case. Because you see, daughters were traded or negotiated with, to help with an agreement, or included in a deal that included land and cattle. In some households, including royalty, they were an object to use when sealing a treaty or combination/division of land. In others it was simply the father who decided “you are marrying So-and-so”, likely because of an agreement with the boy’s farther.
Now that this form of “love” is no longer applicable in most families, women no longer have to take their husband’s names, although they are free to do so. We are seeing more hyphen names, or new names created for both people.
Personally I love my last name, it just suits my first name so nicely, thus I will be sticking with it for life. Plus my name acronym spells a word, so it likely wouldn’t make one if I changed it :)