I travel a bit to LAX and that seems to be quite good on luggage. Transfer bags first followed by first and club. That seems to have happened on all of the occasions ive been through and ive been out through customs before anyone else when in first.
On the return again first bags seem to come out first in T1.
I've been through T4 a few times tho recently and the luggage seems to be a bit of a lottery there.
It's not consistent as *A however. They always seem to prioritise correctly!