The central question here seems to be what makes one a Jedi? To me it seems to be learning the ways and philosophy of the Jedi and the light side of the force, commitment to the order, and then to be a knight passing the trials. Ahsoka fails #2, having renounced the order. To me, she supersedes the order in #1, and #3, I suppose she never officially passed the trials. But her commitment to the light-side of the force is unquestionable.