All hybrid crosses between lowii and philippenense would be called Paph. Bernice. That is the registered name of the cross regardless of the particular parents used to make the cross. When the seeds are germinated there are potentially thousands of Bernice that can result. They are all real. To distinguish an individual plant you would give it a cultivar name. As an example you might see Paph. Bernice 'Big Pouch'. The 'Big Pouch' name is for the individual plant. This naming format is used for all species and hybrids to distinguish a particular plant.
You are generally correct that Paphs have not really been cloned successfully commercially.