There's nothing wrong about divorce. But given that in your country divorce rates are generally higher in the more socially conservative areas where women would presumably be more likely to have their names changed, I'd take that bet.
There's no contradiction between independence and being a couple - none at all. Trying to trap two people in an absolutely codependent relationship (i.e., "one") is, in my experience, in the majority of cases a very unhealthy idea even if it appeals to their sense of archaic romanticism.
But all of that's getting a little far afield. Sometimes a name is just a name, and having it changed for whatever reason is harmless - as is not going to the trouble.