If you would like the other side to do you a small favor every time, it's worth considering to do the same. At least respond to the invitation with gratitude and a hope to maybe do it next time.
No one is suggesting one needs to. It's a choice. And when you make it a choice, it is indeed nice.
This is like asking depressing people to stop being "depressing"
If somebody I don’t want to hang out with keeps inviting me that doesn’t make me feel good about myself, that makes me feel anxious, like I haven’t properly clarified our relationship with them.
> That person likes to be invited to feel like they are the more valuable person in the relationship.
For me, I would expect the opposite - if you get invited all the time but never come, it’s because you’re not actually involved in their life, you’re not actually all that valuable. In order to be valuable you’d have to be making the effort to be present, or at the very least, communicating your availability so the other person would better understand when it’s appropriate to expect you.
Or it was just a comment without any major feelings of dominance attached to it. Some people interpret everything as a status fight, but most dont.
On the surface, implicitly negotiating over who is more important sounds horribly dramatic, but it’s a game that’s happening constantly among everyone. Usually folks push and pull over some equilibrium point, one person making concessions, then the other, in turns, with the actual hierarchy determining roughly how many turns each person should concede before making a demand of the other. This is where you get dynamics like “he’s a very demanding boss but he cares a lot about his employees” (high amplitude of switching between demand and concession) or “she’s very sharp but also hard to get along with” (doesn’t concede enough to make others feel important).
Concession in this game can be anything, small to large, from being the one who opens the door to let the other through, to offering help during personal problems, to letting someone take more credit on a collaboration.
But, again, these are all played in the implicit layer. They can be raised to the explicit layer by having a “heart to heart”, like “you’re always so kind. I appreciated when you did XYZ”, or “I’d really like if sometimes you did ABC”.
I've read a number of books on effective communications, and they all emphasize not to read into these signals, and when you do, to go and have a conversation about it to confirm them. I found, as many have, that the error rate is about 50% (i.e. half the time you read the signals wrong).
These books are for normal people - not neurodivergent folks.
Here's some advice: There will be literally never, ever, be a situation in your life when it is okay or even remotely appropriate to tell somebody else that "they're autistic".
If you figure that someone is autistic just make the accommodation you notice they need, because if you don't you are in fact the one being demanding of them to do the work to make the social thing happen on account of two people.