If you are turning and both tires maintain traction then yes the outside goes faster. That, however, is rarely the case, especially when hard on the throttle. When you are turning the weight of the vehicle is pushed towards the outside which unloads the inner tire, making it have less resistance than the outside. If enough throttle is applied in this situation the inner tire will break loose first.
The thickness of the fluid in all 3 diffs acts as a LSD. Thin fluid means free differential function, the thicker the fluid gets the more resistance it has acting more as a limited slip diff. The fluid thickness in ANY of the diffs controls how it transmits power to each side. Each differential sends power to 2 places. The front/rear diff sends power from the input drive line to the left, or right tire. The center diff sends power from the input (motor) to the front or rear drive line and has absolutely no differentiation between the left or right.
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@83N provided.