Everything that people have been saying about DB-DC, with respect to the debate between legacy movesets versus Dragon Tail movesets, applies to DB-DP and DB-HB, just to a slightly lesser extent than it does to DB-DC.
I would say that it's more difficult to dodge effectively with DP and HB compared with DC, but the main advantage is in the quick move, Dragon Breath. All of the legacy sets are good offensively. The raw DPS numbers between DP and DC are very, very close. And HB is right behind those.