I posted what I believe to be some pretty good info in another thread in general. I will just dupe it over to here, it was in 3 post so some info might be repeated but here goes
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I break the LSD down to 3 positions on track then tune from there.
1 (Inital)) Car spins coming out of corner on acceleration
2 (Accel)) Car spins after corner has been exited and is under hard acceleration
3 (Decel)) Car spins when lifting off gas or braking before corner
Increase each number until the car stops spinning one tire in each of the three position. If you are fine everywhere but when you hit the brakes or lift, then just increase the last number. You want to run the numbers as low as possible without spinning one tire on the car.
I also run some basic LSD tuning based on the HP of the car.
500-below 13/25/7
500-700 18/32/9
700-above 22/35/11
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A locked LSD (higher numbers) will make both wheels spin at the same speed and therefore cause the car to push through the turn.
You want to find that number on your LSD to where it allows the wheel to spin fast enough to turn but not fast enough to unload the wheel and spin out.
Ever driven a 4x4 with a locked front end and tried to steer it around a corner without backing up 50 times? Same concept.
A good test to see....turn LSD inital to 60 and drive, then turn to 5 and drive. You will see exactly what I am saying.
If the diff is open when you spin one tire the other will go the opposite direction in real life, but yea it is essentially just what you said.
If it is locked you are exactly right both will spin at same speed with a 50/50 power split and that is a constant value.
Speed and time in this case would mean the same.
Now this is a LSD we are tuning so it is really never a fully true locked rear but very very close with numbers of 60.
What you want to do is think of it as a clutch, (at least I do), I just control the slip with the LSD numbers.
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Break it down to one single corner. You hit the brakes, turn the apex, and accel out. Now think of those 3 parts as the 3 numbers in the LSD.
If you come into the corner and hit the brake and you rear end slides out or the car is unstable then TURN UP DECEL.
In the middle of the corner and partial exit when you hit the gas if your car spins in the rear and gets to loose for you the TURN UP INITAL.
After exiting the corner and your on the gas and the car shifts 2nd - 3rd and spins loosing grip then TURN UP ACCEL.
You can tune the car pretty good and get a good understanding of whats going on by just hitting one corner on a track and keep doing the same one with different numbers you can feel the car and the adjustments.
You want to get the numbers as low as you can and still be able to hammer on the car. A lot has to do with driving style also. If you are light on the pedal you can run lower numbers. If your a lead foot, like me lol, you need higher numbers.
Try running those base numbers I posted earlier based on the HP of your car and go from there.
Anything else just ask I'll try and answer my best