Hi,
first of all, the ILS 30 into KLGB is only a CAT I approach, so autoland under CAT III are not allowed, but I guess you know this as a real pilot.
I have compared the the localizer coordinates with the FAA and they are absolutely identical:
JEPPESEN (our data): 33.82716111, -118.16269722
FAA: 33.82716169, -118.1626967
The blue point is the JEPPESEN position, the red one the FAA position - the same:
I have tried the approach and here my results:
1000 ft:
500 ft:
nearly over threshold:
touch down:
from the cockpit few:
from outside:
I can´t reproduce any offset - sorry.
Cheers,
Richard