Thanks for the reply, Togainu. I think I was unclear in what I was asking.
I understand that the claws granted by the Dragon Disciple PrC are a bit redundant, though the claws granted by the sorcerer bloodline are very specifically stated as being activated a certain number of rounds/day, whereas the Bloodrager entry simply states "you grow claws." This seemed to me to say that bloodragers gained the claws permanently as opposed to a certain number of rounds per day. This seemed perfect to me as I am building a natural weapon dragon-gish of awesomeness.
My further research has revealed to me that common interpretation of the bloodrager bloodline is that the claws only come out during mystic focus, and Hero Lab appears to take this interpretation as well. It makes sense, as it is stated that all abilities occur only during bloodrage (mystic focus) unless otherwise stated. The confusion comes, in large part, due to the fact that other bloodrager bloodlines state explicitly that the claws are only during bloodrage, whereas the draconic bloodline simply states "you grow claws."
My interpretation is that the bloodrager bloodline grants permanent claws, and the sorcerer bloodline grants temporary claws. Obviously you cannot grow more claws on the same limb, though at higher levels the claws do gain elemental damage, which you could only use for a limited number of rounds/day.
Also, it was also stated in an FAQ that bloodrager bloodlines are, in fact, progressed by Dragon Disciple levels.