I believe the “part of our language that lends itself to having the cause of a thing be responsible for the thing” (in the contexts you give examples for) is just the human desire to be included in what’s happening, even if you shouldn’t be. If we were honest, we would callout these inaccurate claims. But it is a component of social lubrication that we ignore minor inaccuracies. We allow white lies because the cost of pursuing them is greater than the value of uncovering them.

That is not the case with people falsely claiming ownership of things genAI has made for them. Presumably because we understand that the person “building their house” is not building their own house from scratch. And so it doesn’t erode the foundation of architecture to allow that inaccuracy. Carpentry as a profession won’t be written off because Business Chett heard someone say “anyone can build a home (by having someone else do it for them).”