The gear that has (MRD WAR GLA PLD LNC DRG) on it is Tanking Gear, and while Lancers can indeed wear it, they are not priority (NEED) jobs for lotting on it, nor should they be, you can and certainly should roll (GREED) on them.

Any gear that is primarily LNC or DRG you -can- lot NEED on if you are on LNC or DRG, but also still GREED if you so desired.

Stuff with Intelligence that you -can- roll NEED on is stuff for All Classes, and thus you can being that light armor is what lancers wear primarily.

DPS gear that is mostly worn by warriors but also has use for Lancers that you can lot NEED on is Light Armor as well.

I'm very certain that you're not understanding how lotting on stuff works in this game since from your word use i can see you are from a diffirent MMO.

Even more of a shock for you later when accessories with STR on it are unavailable to you, that's because LNC and MNK have their own drops with similar stats individually and while wearable by both, one of each is need for the jobs.