I have already completed the first steps for 3 relics, now i have my ninja hit 50 today. Do the crystals still drop from fates in the zones in heavensward WITHOUT having the relic quest in your log?

Since it can only be started at 60 i would like to get a head start and manage to get the crystals while fate leveling between dungeons.
Or do i have to wait until i get ninja to 60 to pick up the quest so they drop?