What you have described is exactly how it should feel and why I removed my 6mm shim. The feel i want is a neutral and balanced feel mid corner. The shim did improve this on my worn out shock, but when i bolted in a new shock with the right spring and preload set, the shim came out. The bike tips in easy and feels nice from vertical, to lean and back.So, what you have done is changed the geometry - nothing more and nothing less.
By raising the rear you have reduced the rake and lessened the trail. That will make the motorcycle turn in easier.....but there is a really bad downside of this - instability. There is a way to check to see:
Start by making sure your front tire pressure is correct. Then you should find a familiar road with a long sweeping corner. Something you can settle into. Highway cloverleafs can be helpful here if they aren't too banked. When you are in the corner try to slowly release your grip on bars and feel what the motorcycle tries to do. Be mindful of it trying to fold the front end, in other words you are applying input that keeps the front from falling into the corner. What you want is geometry that would allow you to completely let go of the bars and it will track the same line.
I hope this helps.