AI-made and AI-assisted are two different terms
Itch only asks, if the assets and or code have ai generated content. AI-made or AI-assisted have no meaning in the filter and browse system - despite Itch naming it "ai assisted". I consider this misleading. And it only means that you clicked one or more of the asset/code categories in the disclosure question.
But people do not know this, because this is hidden away in the forum. They have no way of knowing how you created the game. Unless you tell them, and they believe you.
As you point out, there can be a meaning in ai assisted and you can also make that term mean something different as ai made.
Imagine toy bricks. One bucket has machine made bricks. The other bucket has hand carved bricks. Now a child builds a play house with the machine made brickes. And a robot controlled by an ai agent is tasked to assemble a house with bricks from the other bucket.
The child made a human made toy house. But the bricks are machine made. It fulfills the ai assets category on Itch. And if the child used a machine made blueprint, it also fulfills the code category.
The robot made a robot made toy house. But since the bricks are human made, it does not fulfill the ai asset category on Itch. It probably will fulfill the code category. While you could use a human made blueprint, the assembly of the asset blocks will be generated by the ai.
I think this is a good illustration how those things are not as clear as one might think.
Ai "assistance" in particular is practically meaningless. Depending on whom you ask, using an ai for a single question in development would already be "assistance". While others might assume general help of ai, or even ai agents that do more things.
In my opinion, people use "ai made" and also "ai assisted" in the sense of this concept: https://en.wikipedia.org/wiki/Metonymy . They use part of the thing to describe the whole. Since parts of the game are ai generated, they call the whole thing ai generated or ai made.
AI made was used to refer to such games, even before there were ai agents that could literally make the games. Or "assist" in making the games. Now that it is possible, there is ambiguity.