No, "air dominance" is a well recognized term, it means you can fly your planes basically anywhere you want, to take out whatever target you want, without risk from AA. They are using it exactly how anyone familiar with warfare terminology would understand it.

> P.S. air dominance in Iran is meaningless in this conflict. Read e.g. the blog post I linked to for context.

It's meaningless now.

If the US, for some reason, decided to say, "For each drone or missile that you fire at one of your Arab neighbors or Israel, we launch an old-fashioned B52 raid on your industry or infrastructure. Come to the negotiating table." and actually carried out that threat, well, there would be nothing the Iranians would be able to do about it.

That's not the case because of the currently scattered nature of US leadership, but it is a possible contingency that the Iranian government has to take into account. There's a reason they're not actively targeting US warships in the region.