I think this is full of shit. I've given the Kurds a massive amount of criticism for consistently siding with imperialism, but from what I've seen, they've been relatively restrained this entire conflict. I think a combination of Rojava's destruction and the abject failure of the uprising in Iran has tempered the Kurdish political factions to a certain degree.

Iran is not a nation to be trifled with. It's not a disintegrating state without a foundation of popular revolution like Syria. Nor is it an occupied failed state like Iraq. Iran is the most industrially developed countries in the region and is one of the most sophisticated military powers in the world. A Kurdish invasion would be a blood bath, and one that could very easily completely collapse the minimal chances for an established Kurdistan.

I'm willing to believe that Türkiye also warned against this option for obvious reasons, but I think it's a lie to say that's the major reason it didn't materialize. I think it's more likely that the Kurdish political factions in Iraq were hesitant to go through with it, and the opinion was split enough to where no operation could reliably occur.