As described by the Aroid Society the wild Anthurium andraeanum has a viney epiphytic habit, while the hybrids are suckering clumpers.
You couldn't cross any species with itself and call it a hybrid.
The Anthurium andraeanum hybrids involve other species. The reason the naming authorities don't list something like Anthurium X cultorum is because it's not a natural species.
It seems right that if the plant is a known named hybrid it's epithet would look something like Anthurium 'Cultivar'.
If a cultivar name is not known then Anthurium X cultorum, as the Aroid Society suggests, would make sense.
Unless Anthurium andraeanum can be shown as a vine growing up a tree, it should not be believable. The term should not be used to describe the clumping plants, which like to grow around the base of trees, that we are used to.
