I believe your last statement was correct.
In orchid nomenclature, we have:
- Genus (or nothogenus, when it is a hybrid of multiple genera)
- Species or hybrid (more correctly known as a “grex”)
- Type or form, and
- Cultivar (cultivated variety).
Hybrid name registrations are based only on the first two and is only a “name”, not requiring any descriptive information. The type and form are ways to apply better description to the appearance, and the cultivar is used to delineate a specific plant and it’s asexually derived offspring, i.e., clones, keikies, and divisions.