I'm not sure, but I might be getting better than my relatives who actually own it. That said, all of us are truly non-competitive, in the sense of not caring deeply about winning. (I tend to care more when I'm playing against an AI, oddly enough.) It's all about the experience, and little rituals, like singing each card title in a tune specific to that card. I see games with them more as a chance to experiment.
Our last game had a rather advanced setup but also a relatively new player, one who will likely never really learn the game because she doesn't play board games often. I advised her every turn, took as little time as possible with my own turns, and came in dead last. That's just how things go sometimes. A few months back, we played a game against involving two people who are definitely more advanced, and I won by a large margin with the help of Apprentice, now one of my favorite cards. We'll still be talking about the time I Apprenticed a Colony and got two Colonies out of it.
A thought that just occurred to me: I might care less about my success against human players because when I do care, whether in online or RL play, I tend to take really long turns; since I'd rather not annoy anyone, I simply don't bother with "playing to win" to quite the same degree. And this can have the fun benefit of seeing combinations in my hand that I hadn't even thought of before!