She has the Phoenix Force possessing her in this run, hence, when Jean confronted Emma earlier in an earlier issue, she told Emma, "Now its just you, me, and the Phoenix."
http://2.bp.blogspot.com/X2VhZ5Keoq1...dz-Tw9nE=s1600
http://2.bp.blogspot.com/6Rmi1UMjPPu...b1hyonPR=s1600
I agree that there are many similarities between the Phoenix Force and Ororo's powerset, but Jean does not have these deeper level of connections without the PF possessing her.