In beta phase P1-P3 you could Need roll on any item that matched your class/job. This resulted in people Need-lotting things that were not intended for the class/job they were playing even if they are able to equip them.
They changed it to what's there now because of that.

Yes, some pieces can list only GLA/PLD/LNC/DRG, because those are the classes/jobs that can wear the item, but if it's intended mainly for tanks, only GLA/PLD can Need roll on it. If it's intended mainly for DPS, only LNC/DRG would be able to need lot on it instead.