Can we run dungeons as a non 50 job and still get the relic item?

[Nekodar]

I could level my 43 war while crying for the relic item to drop.

Anyone can confirm if the relic quest item can drop?

Assuming you're talking about the latest quests... Dzemael Darkhold is the lowest level dungeon you can get item from...
Which has an entry requirement of level 44 iirc. So, no... At 43 you can't get the relic item to drop

Someone in another thread said however that you can get the item while levelling. So as long as you're able to enter, and have the quest active, you can get it.