Not the same. A more apt version using your comparison would be someone saying ‘I’ve been sober for a year!’ and the other person (who still drinks, but perhaps cheered them on now and again from the sidelines) says either ‘You mean we’ve been sober for a year!’ or ‘Yes, and it’s all thanks to me!’ - never mind they didn’t actively step in to help, or try to go dry themselves.

What the complaint you quoted was objecting to are people claiming full part of something they had no control over and no (or not much) involvement in, just to make themselves feel more important.

Yes we as a social species like to share in accomplishments, and that’s fine! But there is a line, that unfortunately gets crossed quite a lot, where people start to feel that they themselves were involved in the accomplishments of others, and that’s not so good. To paraphrase an above poster, we didn’t win the Super Bowl.

And also, some things people take ‘group pride’ in aren’t accomplishments at all. Being born in a specific place, for instance, or having a specific skin color. Or even just trying to share credit with every inventor/creator/whatever of the same gender. It does all tie back to our instinctive tribalism, but that doesn’t make it a good thing.