My DH has two cousins — one he's fairly close with, and one he’s not. The distant cousin frequently drops out of family gatherings last minute (this isn't about us he does it to everyone), and in eight years together, I’ve only met him once, pre-COVID. He skipped DH's stag do, our wedding, and our baby's naming ceremony, and has never met our child.
DH and I genuinely don't have a problem with the distance or any desire for closeness but MIL and Aunt seem determined to manufacture a relationship between us and him. Every Christmas, we're asked if we've sent a card and whether we need their address. Every year, we say we don't exchange cards with them. On the kids’ birthdays MIL asks each time whether we're sending something or whether she should add our names to her gift. Every time we say we don't exchange gifts but she adds our names anyway. We've also been nudged to send congratulations for things like school achievements, sports events, and work promotions. MIL thinks I should friend/follow them on social media as a nice way to keep in touch (I doubt they’d accept me if I did anyway).
MIL and Aunt send us photos of the cousin's kids at least fortnightly. When DH just gives a thumbs up reaction , we often get nudged for more like "Doesn't the Easter bonnet look amazing?” but there’s only so much you can say about photos of children you’ve met one time six years ago. We're also occasionally asked if we've thought about "popping by" when we're in the area, as though there's an open invitation to extended family they’ve seen once in eight years!
We’re happy to match his cousin’s lack of enthusiasm and don’t have any wish we were closer, but MIL and Aunt constantly trying to push it on us is annoying me. I wouldn’t recognise this cousin or his wife if I passed them on the street. I understand MIL and Aunt probably dream of big extended family get togethers with all the cousins' kids running around together but his cousin clearly isn't interested in that, and it's frustrating to feel a relationship being pushed onto us with someone with someone who obviously has no interest in us.