ptp-
Just to add to mutt and jt's answers, you did ask about the "operational" considerations.
I think it's important to note that AC and LC limits are for *planning the takeoff*. Once airborne, they are no longer limiting. That is to say, you under burn enroute, and upon arrival you are heavier than AC or LC as the case may be, you are legal to shoot the approach.
It's also important to recognize that the AC and LC limits are simply density altitude gradient capability weights, and have nothing
to do with the actual approach or runway in use. Let's say you are landing at a coastal airport with ocean off the end of 27, and mountains off the end of 09. The AC and LC limiting weights would be the same for both runways.
