Dave Filoni had a couple neat points about Ahsoka and her 'jedi' status in that interview I linked:
Fans have watched Ahsoka grow up on The Clone Wars, they’ve seen her go off on her own, seen her fighting as a lone wolf in Rebels. What did you want to reveal about her at this point, much later in her life?
Filoni: She is, for lack of a term, a master, because she’s largely an independent at this point. I play her much more as a knowledgeable knight. A wandering samurai character is what she really is at this point. I’ve always made comparisons to her heading toward the Gandalf stage, where she is the one that has the knowledge of the world and can help others through it. I think she’s reached that point.
How would you describe her overall journey?
Filoni: We saw her basically hit the scene as a Padawan: young, and naïve, and brash, and aggressive. Then, in Rebels, she’s more of a traditional knight, trying to figure out how to fight a war. There’s a lot of hesitation around what she wants to be and who she can be and how her life’s been guided. I think that now I’ve taken that a step further. When you see this version of the character, she’s world-weary from everything that she’s experienced and lived through. She’s seen so much happen in her time.
The episode is called “The Jedi,” but Ahsoka’s whole identity is based around leaving the Order.
Filoni: Yeah, I think something fans like about the character is that she’s rather complex. They all focus very hard on the line, “I am no Jedi,” from Star Wars: Rebels, but it’s undeniable that she’s trained by the Jedi. I think to most observers she is very Jedi to them. I would argue in some ways—by being so selfless and rejecting a lot of paths that would have given her power—she’s more Jedi-like than even some characters who claim to be Jedi.
That last sentence is what strikes home to me. At their end.....the Jedi had abandoned their 'way' so to speak.....whereas Ahsoka's journey as a character has organically shaped her into a great "Jedi" despite her distancing herself from what she had known the Jedi to have been.