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So, my friend recently got the 'Siege of Vraks' IA book, and one of the two formations in the back is the Vraks Renegade Unending Host - Battle-forged Detachment, which essentially makes your army into a huge meat grinder and gives you benefits for getting your own troops killed. I'd be happy to use the standard Vraks list in the same book, but you can't take the Covenant of Tzeentch, which kinda spoils the theme of my Chaos forces (who are all Tzeentch aligned, for better or for worse...).

But, looking at the rules I think I can still use the formation, but I wanted to check what you guys thought.

The restrictions for the detachment are as follows:

Slaves of Darkness: All units in this detachment (except fortifications) must have the Chaos Renegade Faction.
Unending Horde: The Army's Warlord must be a Renegade Demagogue with the Master of the Horde Devotion.

Which can both be fulfilled with the IA13 list, as both are said to be the Chaos Renegades Faction (the Vraks list states that "The Renegades of Vraks army list is considered to be a variant of the Renegades and Heretics list presented in IA 13 War Machines of the Lost and Damned, and is of the same Faction.") and Master of the Horde is a devotion that both lists have access to.

So would you guys be happy to play someone using the IA13 list and a Unending Host Detachment, or not?

You should read the whole detachment. Above the diagram of the FOC, it clearly says the detachment is for use for the Renegades of Vraks army list.

Also its not a formaiton, it just a detachment.

Welp, that sucks. I understand why to degree (the only Chaos factions mentioned to be on Vraks were Nurgle and Khorne, and they are the most played Chaos Gods), but it'd be nice if Tzeentch got something from Forgeworld (and even Slaaneshi forces only get a Sonic Dreadnought).

As it stands they have no unique units (you could argue spawn, but the Vraks list lets Khorne/Nurgle use them as well), and they and Slaanesh have no access to any formations or detachments apart from either the Apocalypse ones or the Helbrute ones, IIRC