LSD diffs (or TCD as Kyosho calls them) are nothing like Torsen diffs.

Inside they look almost identical to normal diffs but they have 4 extra square plates around the 4 spider gears inside. Under power these plates make the diff (almost) lock up limiting the diff action. They lock harder the more power you put on them.
You could actually see the diffs as self adjusting regular diffs. They give good off power steering coming into a corner and pulls out hard exiting (if used in the front). These diffs are not adjusted with different thickness of oils.
Some people like them others don't.

The stock diffs in the CEN Matrix looks almost identical to the Kyosho TCD diffs.

I've attached a picture of the TCD diff (taken from Kyosho manual).