If you define psionic powers as being dragon-based, I suppose? But that's not even remotely present in the traditional flavor of psionics.
I define psionics as the influence that a mind manifest.
Human minds do human things.
Dragon minds do dragony things.
Aberration minds do aberrant tings.
Ghost minds do ghostly things.
Elf minds do elfin things.
Literally, whatever a psionic creature has in mind.
Also, unless the new sorcerer doesn't cast spells by default, it still won't work.
Not sure what you are saying here.
As I understand the "Bloodline" class concept:
The character has will points to manifest spells (whether arcane sorcerer, psionic sorcerer, divine sorcerer, or primal sorcerer). However, these manifestations also transform the body, mutating the body under the magical influence, and even altering the personality.
In a way, the class has the player write up two characters, one for a Jeckle and one for a Hyde, and there are gradations in between.
These mutagent influences feel psychometabolic, so that using ones will power is mentally transforming ones body.