In Australia where I live, Medicare is our national health care, I'm guessing it's a rough equivalent of your NHS. We all have a Medicare card, which is commonly asked for at any sort of medical appointment and used as identification for other purposes.
I have my kids on my card, but often spouses/partners are on the same card as well. The card lists the names.
My DP uses a card that lists his (ex) wife's name as well as his. (They are not divorced yet and I've sought advice on here about that previously). They have been separated almost 5 years. DP and I have lived together just over 2 years, we have one child together, and both consider this a forever relationship.
As well as asking him to get divorced, I've asked him to get his own Medicare card, as I feel unhappy about him having a shared one with his wife. I went to get the mail last year and there was a replacement card for him (they expire every few years and are automatically replaced) with ex wife as the addressee (she's the primary card holder). I don't like finding mail to his ex wife in my post box.
I also find it embarrassing - last year he was asked to present his card at a new employer for sign on. I consult to same company, we are known to be partners, but he is showing ID with him and ex wife listed together.
It also has implications for safety net cutoffs (higher rebate when your out of pocket medical expenses reach a certain level)- these can be taken as a family limit, which means that if one family member has a lot of out of pocket expenses in a year, other family members can also get a higher rebate, but I don't want to risk my medical details being shared with ex wife as they share the same number.
He's agreed to get his own card, but begrudgingly. And I don't know if he will follow through.
AIBU and controlling?