OneOrMore is more or less an example from the functional world. i.e.:
https://hackage.haskell.org/package/oneormore or scala: https://typelevel.org/cats/datatypes/nel.html
it's for type purists, because sometimes you want the first element of the list but if you do that you will get T? which is stupid if you know that the list always holds an element, because now you need to have an unnecessary assertion to "fix" the type.
The NonEmptyList in Cats is a product (struct/tuple) type, though; I assume the Haskell version is the same. The type shown in the blog post is a sum (union) type which can contain an empty enumerable, which contradicts the name OneOrMore. The use described for the type in the post (basically a convenience conversion funnel) is different and makes sense in its own right (though it feels like kind of a weak use case). I'm not sure what a good name would've been illustratively that would've been both accurate and not distracting, though.