You need to learn your bike better. They all have lash - it's all in the RPM's, shifting, and a well schooled wrist in combination with the clutch.
To me (no disrespect meant) it sounds like you just don't know how to ride the bike.
4,000 miles in 3 years - also supports my case. (Unless you didn't buy it new)
Good luck finding a bike that rides you. I'd rather have a bike that I ride.
On this train of thought, I have wandered before if some folks drive a K16 like a crouchrocket exerting demanding torque on the tranny and the driveline. I may get flamed here, but this bike is pretty darn heavy, it sits high; moreover, loaded with travelling crap, it may not be the optimal machine to abuse crancking twisties and the likes. You would expect that it would be because of its magnificent handling for a bike this big, but maybe its not.
I would suspect this bike is probably not for rookies either...hold the flames, not yet.
I drive my bike like a touring bike and its nothing but smooth and trouble free. I have driven in 90mph range in the hellish desert weather for hours. I drove it cross country without a hitch.
There are some folks who drive a GT like a bat out of a cave. I am sure that kind of riding is enjoyable (especially if you have the skills) But these riders will also tell you they tear the sheettautta their tires inside 4k. The wear burden on those tires has to also reflect high demand on the engine and tranny. It would interesting to collect info on driving style and mechanical problems to see if there is correlation there.
Be that as it may, between my RTs and my GT, BMW makes the sheetiest transmission I ever had. Japanese bike are much smoother and so is the GL. Even the freaking Trophy shifts better than the GT. When it comes to the driveline slack and tranny shifting: Shame on you Mother Beemer for cutting corners on the tranny of such fine moto.