yep, thats normal
the idea of the LSD is to give positive traction to both wheels, so when you are turning "fast" the diff thinks that one wheel is spinning(due to the turning circles of each wheel being a different size), and it locks up, giving you the slight wheel spin on the inside wheel
you only need to worry if the inside wheel locks up on slow cornering
Dunno about having an LSD lock on you, more likely it would stop locking and slip more.
Mine shudders when you give it light throttle round a u turn, intead of spinning it goes ch ch ch ch ch and gets faster as the speed rises, alternately it just spins along with the other wheel and you know what happens then
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