You’re being a bit ridiculous OP.
I’ve never insisted my DS send Xmas cards to everyone. He sends them to whoever he wants to. I’d be even more keen to support that stance if he were a girl as I hate the way girls are expected to please everyone regardless.
However, it sounds like the real issue is your feeling of being snubbed.
If you feel invisible you need to take responsibility for becoming more visible.
Initiate conversations. In non-Covid times, I’d recommend offering to help out with a small job when the PTA organises something.
As someone who will talk to any random stranger, initiating conversation isn’t an issue for me. However, it does annoy me slightly that people who are less willing to engage in simple conversation will try to find a way of blaming others for their feelings of exclusion.
The amount of times someone has said ‘it’s alright for you, you make friends easily’ as if I was born this way. My DM was rubbish at socialising so I never had a birthday party and could never invite any school friends home. I’m not even aware of my mum having a single friend outside of her work colleagues, so learning to make friends and socialise is something I’ve had to figure out over the last 3 decades.
If I can do it, so can you!