Well all that I can say is that my kids having my name, and not changing my surname on marriage has really served me well.
I have always felt very connected to my children. as I guess most / all mothers do. Yet I do also feel that sharing a surname, one that was mine all my life, and my kids all their lives is another layer of connection. My kids often refer to us as the X family, and I think it gives me a lot of joy and pride. Despite having a good career I did put a lot of my own needs/job on hold to bring them up. My Ex did not. It just seems somehow… right.
They have a good relationship with their father. But having my surname seems to reflect the reality of me as their mother. I wish we were in a world where most fathers put in as much as of the emotional, stressful, day in and out, financial work into bringing up children. But reading mumsnet and knowing my friends… women do the majority most of the time. (Apologies to those fathers who are great too, I know you are out there!)
And children having their mothers surname seems much more intuitive, more logical, more right than the fathers. The reason they don’t is very much the patriarchy and I’m sad to say, a lot of misogyny. Give their name and then clear off/leave the child rearing to the mother.