Hi
If your chassis plate shows "B" then definitely there should be LSD.
Option I mean. For example manual 6MT has LSD as standard. For an Auto 5AT it is an option.
In Japan when you buy the new car you can specify if you want LSD or not.
They will allocate the car with B in chassis plate to you.
The factory makes some batches with LSD and some without. Depending on the buyer
if they want LSD or not. The car will be allocated accordingly.
"B" denotes Torsen LSD made by Zexel Inc.
Same goes for TRC ( Traction control) . It is a option for Auto 5AT.
Wfan.... your case not sure why your axle dont have LSD. It should have.