100%, but ideologically she's every bit as much a Jedi as Luke is here. He's not had any formal induction to an organization, so that can't be what Yoda means here.
Yoda is also shown quite clearly regretting the kind of stagnation he allowed in the Jedi Order, which is exactly the reason Ahsoka was put in the hard situation she was. The Clone Wars very much set up her character as an emblem to show the rot that allowed Palpatine to rise, which Yoda acknowledges and regrets quite explicitly there. It's not a ridiculous inference to assume he respects her and would validate Ahsoka as part of the "good side", which is about all "Jedi" can mean in this context. She even explicitly and repeatedly tries to turn Darth Vader.
Anyway, I do agree in that it's not a massive plot hole or anything, but I'd say that if we're ever explicitly shown Yoda meeting Ahsoka pre-Empire, this scene will be weird.
Man, I've been console for ages, but this January I bought a gaming PC and hooked it up as my dedicated console, and it's been amazing. If you like a bit of tinkering, PC can dominate as a console.
Basically the only thing I miss is Xbox's Quick Resume, or suspending a game on Switch. But a good PC fires up games fast, so it's really not a huge loss in the face of all the benefits.