it doesn't have to be about property, it can be about showing off that your officially one family now. And i think that's a valid reason for changing your last name (aka family name)
You can always opt to take on a double name, you can both take on your wife's name if you prefer that, or whatever. But just because a woman chooses to take her husband's name, doesn't mean that she's now his property. Your children also aren't your property just because they have your last name
Edit: And before someone brings up the fact that the historic reason is property: Things can change and people like to stick to certain traditions regardless of the history that the tradition carries.
Just because your last name is Smith doesn't mean that you need to become a blacksmith, even though that's where the name originates from
That sounds pretty cool actually