Those aren't really good names either, IMO. Even the 360 was just OK. They should just have gone with Xbox 2. Or Xbox 3 and skipped a number if they really were worried about lagging behind PlayStation as it's sometimes alleged.

And there are two Xbox Ones

Xbox One Kinect, Xbox One non-Kinect, Xbox One S with disc drive, Xbox One S All-Digital Edition, Xbox One X

And then you have the various drive options, 500GB, 1TB, 2TB, game bundles, day one edition. We are talking about dozens of variants.

I suspect they were referring to the first Xbox. It used to be colloquially referred to as "Xbox One" before Microsoft decided on their piss-poor naming scheme after the 360.