I am interested as well. IB seem to have lie-flat seat... upon reading some reviews, it seems like the seat is not fully flat (only certain rows go fully flat?)?
LA doesn't have all of its A340s reconfigured so the chances of getting newly configured A340 on this route is a toss-up (2 of 5 are reconfigured so I'd say there is about 40% chance OR less).
I am flying on IB (under LA codeshare) because the schedule suits better. I think LA leaves at night, arriving in the afternoon time. That won't fit my schedule.