I was having a very heated discussion with a Khajiit from Rimmen who insisted Cralgorn was not part of Hammerfell, that it was a borderline zone and due to the presence of things like the Falkreath entrance, the Skyrim house "Hakkvild High Hall" and Imperials, Orcs, etc. fighitng over the zone it made it not part of Hammerfell as it is during the third era. It being described as a "No man's land" also led to this Khajiit to insist the place is independent and not officially part of Hammerfell.
I insisted that it is part of Hammerfell, as the very loading screen says "it's a region of northeastern Hammerfell", the UESP wiki says is part of Hammerfell and even though Elnihir and Dragonstar are destroyed and their city appearence Imperial/Nordic they are still Hammerfell cities shown in the Tamriel map we all know of.
So which one is it?
During ESO Cralgorn is its own region with no ties to Hammerfell? Is it a mix of 3 provinces due to the presence of houses and groups like the Iron Orcs? Or is it fully part of the Hammerfell province?