There are multiple types of LSDs, each with different characteristics.

The Detroit TrueTrac is a gear-type that transfers torque based on available traction up to a maximum ratio (between 2:1 and 5:1, depending on design).

There are viscous LSDs that transfer torque based on a difference in wheel speed.

There are also clutch-type LSDs that also transfer torque based on torque differences, but in a more on-off type manner (generally) than a gear-type or viscous LSD.

Then you have lockers (that are still technically in the "LSD" family) - both ratcheting (full-time) and selectable (part time).

Its is a deep rabbit hole.

If you want something you never have to think about, get the TrueTrac. If you want max traction off road get a selectable locker (OEM electric or ARB air). If you want the cheapest option, get a ratcheting locker.

-Charlie