I guess we will have to agree to disagree.
To me (and apparently others), when it says "At first level, you grow claws." I believe that it means that at first level, you grow claws. To me it is specifying that you grow claws at first level. It does not have the verbiage that the other abilities (both within that bloodline and in other bloodlines) have.
I guess we could ask for intent of the Devs but I doubt we are likely to get a response. Until then I am thinking disagreements on this will be rampant.
This difference you list is irrelevant because of the rule pertaining to all bloodlines.
"Unless otherwise specified, he gains the effects of his bloodline powers only while in a bloodrage; once the bloodrage ends, all powers from his bloodline immediately cease, and any physical changes the bloodrager underwent revert, restoring him to normal."
Power of Wyrms explicitly states that you get the ability even while not bloodraging, the draconic claws ability has no such language.