Relics should be the best weapons you could use 100% the time, not just 2-3 months every 6 months.
I think that an easy solution would be to make possible to get items to upgrade relics in two ways. Playing endgame(coil or whatever) and/or grinding. So hardcore people can get their relic upgrade earlier than casual ppl. Grinding method should have week cap so its not possible to get relic upgrade on the firsts weeks of the patch.
I would like to see special stats/buffs on relics for 3.0 like in FFXIV 1.0 or FFXI. Not just flat stats. I liked random dmg increase in relics in FFXI or special/unique buffs to your job with mythic weapon from FFXI too.
Gae Bolg FFXIV 1.0:
http://i.imgur.com/Rt40A.jpg
Also, it would be great to see rare armor with special stats too. Armor that is hard to get(just for difficulty, grinding or rare drop). Not need to add allways set armors.
FFXIV its very good MMO, just need some adjustments to make it perfect.
EDIT for clarification
One example:
New endgame patch has 4 turns.
You need to farm 30 Looking Forward Notes(LFN)
If you complete turn 3 then you get X LFN.
If you complete turn 4 then you get 2X LFN.
If you grind it doing IDK quest then you get Y per week.
People that just raid can get their relic faster than grinding, if you do raid+grind then you will be the very first because you are a hardcore machine. Grinding ppl eventually will get it without get burned. ALL HAPPY!
And if last turn drop weapons(same ilvl as relic but less powerfull because it has not special/unique buffs) they can equip their alters while they farm their first, second, third,.... all relics they want faster than everyone, because hardcores own eorzea with their epeen power OMFG
Time between fastest way possible and grind method is what we should discuss. I have no problem with raid ppl getting their epeen weapon some weeks or 1+ month before others.