Sorry, have to disagree as a frequent AS flier in and out of LAX when AS was stuck in T3, and having moved over to T6 (which has gotten a nice refurb, partially at AS expense).

I've seen better airport facilities than LAX T3 in 3rd world countries. I think the T3 toilets overflowing was the capper for me.

Oh, and the T4-T5-T6 underground connector is open behind security.