It is my impression that the Catalogue of Life never lists "botanically" named hybrids. For example, you won't find "Helleborus x nigercors" there, but horticulturally, that's certainly what that plant goes by (and many of its cultivars are listed right here in the database). Just another example: Viburnum x bodnantense.
I don't think it's good practice to rely on the Catalogue of Life for names of non-naturally ocurring hybrids.
Similarly, horticulturally the polyanthus primroses are generally referred to as Primula x polyantha. In the absence of a better taxon, I suggest they be listed here under that name. Certainly putting them in P. elatior just because P. polyantha (without the "x") is listed as a possible synonym for that species is incorrect.