Both. They are separate and distinct yet can be bred to be a DTVT or DTCT or DTPK. Most DTs are bred to increase dorsal width.
However you cannot have more than two tail types in one fish if you catch my drift. A DTPK is a DTPK not a DTHMPK. A DT can never be a DTHM because by definition it makes no sense.
Who am I? Well I am a Junior Member of the International Betta Congress and a breeder of white HMPKs, red dragon HMPKs, black/red dragon HMPKs, metallic multi HMPKs, blue masked HMPKs, and now multi color HMs. Soon to add black HMs. I will be showing in New Breeder class in fall of 2012.