Not exactly correct. The Traitors US is actually produced by Studio Lambert, which is the same company that makes the UK version.
Peacock has nothing to do with the Kardashians. E produced the original 20-season run of KUTWK, and Hulu owns and produces the current series. Both shows are now owned by Disney (and stream on Disney+ in most countries).
The Real Housewives and Vanderpump are both Bravo shows that just happen to stream on Peacock a day after their network broadcast, because it’s a subsidiary of NBCUniversal.
Similarly, The Traitors is only available to watch on Peacock in the US, the same way Paramount+ streams the franchise here in Australia. It’s not made by them.