I find your findings a little contrary to mine...
I noticed, after my LSD install, that the car actually understeered a little bit (more) entering corners, but powered out of them nicely. I attribute the turn-in understeer to the clutch plates locking up (too) quickly, thus pushing the car... maybe your LSD isn't as aggressive as mine? ... who knows.
The powering out I think is just the fact that both wheels are now driving the car out of the corner, rather than one or one and a half.
Don't forget to change your fluid regularly!