There is just one -poset, namely the point. Compare the concepts of -poset (a truth value) and -poset (a poset). Compare also with -category and -groupoid, which mean the same thing for their own reasons.
The point of -posets is that they complete some patterns in the periodic tables and complete the general concept of -poset. For example, there should be a -poset of -posets; a -poset is simply a truth value, and is the true truth value.
As a category, is a monoidal category in a unique way, and a category enriched over this should be (at least up to equivalence) a -poset, which is a truth value; and indeed, a category enriched over is a category in which any two objects are isomorphic in a unique way, which is equivalent to a truth value.