I have what I suppose could be considered a ‘silent surname’
I am myname-hisnsme on my bank cards, license, passport, medical records etc etc. I think of myself as Myname-Hisname and after we married it annoyed me that no one asked what we were doing about names, they just assumed I’d take his.
At work (a teacher) I’m Mrs Myname. The kids and many of adults don’t know I have double barrelled because it’s a mouthful and they already knew me as Miss Myname.
Conversely, because my dd is DD Hisname I am occasionally referred to as Mrs Hisname. I imagine when she starts school this will increase. When I book things that don’t ‘matter’ (ie I won’t be asked for id) like theatre tickets or restaurant tables, I often use Hisname.
My new surname is long and ‘posh’ sounding. I like it and think I carry it off but I don’t want to inflict it on others. My husband’s name is very normal, easy to say, easy to spell, well known. (Think smith or jones). I think there are benefits to a surname like that. When we talked about naming the children, we considered the implications of the surname just as we did the first name.
My point is, it IS possible to give your child a hyphenated name but use one or the other as you wish. You can refer to your selves as the Ibertson-Donnelly family for example, but just have them known as Ibertson at school. The fact it is hyphenated gives them that option later in life. A middle name surname doesn’t get passed on, it disappears.