Late to reply Natalia, but here goes.
The problem with your argument is that, well, it's wrong. Both in the way that you ignore the cultural in favour of the economic, as though the former has no impact on the latter, and in the way that you imply those nasty men will soon give us economic equality if we just phrase things right and stop banging on about things that make us sound silly (and if you really were worried about the latter, you could do your bit by not downplaying our concerns).
The reality is that oppressed groups don't suddenly win concessions from the group with power because they've figured out how to phrase things nicely. That's not how it works. And suggesting that members of groups without power somehow bear responsibility for putting their case in a palatable way to people who have an interest in not listening to it has, to say the least, a rather problematic history. As for the rest, we already know that privileging of men's surnames has an impact on some women. There are women who have shared their stories on here about how male children of the family were treated as more important because of carrying on the name: do you imagine this didn't have any impact on other areas of their lives? It matters when there's an expectation that women will carry on a patriarchal, chattel days custom and men don't. Me changing my name would have had a negative economic effect for me, because that's how I'm known in my field, but unlike a man would it's not a decision I got to make and enact without a second thought. Fundamentally, name changing is something women have to waste energy and effort on, whatever they do. Anything that falls into that category has the potential to harm women. You either get this or you don't, but if you don't, that doesn't indicate that the problem is with the argument...
And really, you not identifying as a feminist but seeing fit to advise those of us who do is a bit much. If a cause is important enough for you to think I should behave in a certain way, it's important enough for you to do it too. So I reiterate, anyone who thinks those of us who want to discuss this issue should be shelving it until some other feminist priority is achieved, you had better be doing every single thing you can in support of that cause first.