A 1.5 way or even a 1 way would have the EXACT same characteristics as what your describing here. All aftermarket LSD's behave this way, the only difference between a 2 way and a 1.5 way is their locking effect on decel. otherwise they both are going to spin the wheels on a corner exit.
a 2 way can be awesome for grip driving also.. the driver needs to know what they are doing and the car needs to not have that silly "drift set up" with massively stiff spring rates and so forth.
I have a 2 way and i love it, even for Daily driving, its predictable, quiet, and only slightly annoying when parking. otherwise its awesome for drift, awesome for circut and grip etc./