I'd say that you're sort of right that his style is pretty obvious, and it sort of just sounds like that's something your not in to, especially since I see you're fan of the subtleties and "frenchmen smoking cigarettes."

I'm not going to try and convince you to like Wes Anderson, he has a very specific style, and, as always, to each his own. However, you have to acknowledge that as a director he is (mostly) consistent with his style, and that is very impressive. To brand yourself almost by a single frame certainly makes him an auteur director, something that I'd say is sought out by most directors. His dialogue is snappy and appeals to my sense of humor, but even if it doesn't to yours, you should again be able to appreciate it.

As far as his stories are concerned you're right in that they are usually pretty plain. I watched/listened to an interview (sorry, don't know the exact timecode) with him just yesterday where he talks about his stories for a bit. He basically says that a lot of his stories aren't structured with a definitive plot in mind, and a lot of things just sort of happen. He also says that Grand Budapest is his first to follow a specific structure, and I'd argue that it did it well.

I have only seen Royal Tenenbaums, Fantastic Mr. Fox, Moonrise Kingdom, and Grand Budapest.

These are DEFINITELY his most stylized films, and in my opinion Moonrise Kingdom is definitely the worst. I know you said that watching my favorite won't change my mind, but if you're looking for a break from his aesthetics, then I really would suggest watching Rushmore. It's certainly stylized like the rest of his films, but not nearly as much. It's also Jason Schwartzman's breakout role, so if you like him there's another reason to watch it.