Should relic stats be tweeked?

[Dawiichan]

Miss kitten, let's have a deeper look on the weapons:
Garuda's Talons -
Wind Resistance+15
Accuracy+25
Critical Hit Attack Power+40
Chance to inflict wind damage

Sphairai -
MP+70
Evasion+30
Attack Power+60
Refresh+5
Increases Shoulder Tackle damage

It has slightly higher DPS that most probably makes up for the increased wind damage, looses on accuracy and crit power, but gains evasion, refresh and +MP to maintain fists and a good deal more of attack power.
Does that makes it more right? I wouldn't know i'm not a monk, but a straight DPS comparison is not a good idea.

Well, that's the thing about monk, DPS is probably the most deceiving stat for the job in terms of raw damage. If you ever parse a monk's damage, you notice their auto-attacks make a significant difference in damage. This is why I personally detest the Garuda's Talons, even though they are better than Ifrit's.

With the Monk relic, the damage amount is greatly increased, specially compared to Garuda's Talons.

Garuda: 115 Damage
Ifrit: 131 Damage
Relic: 143 Damage

This not only affects your damage output by means of auto-attacks, but also make skills such as Hundred Fists and Spinning Heel much more efficient. You can consider this somewhat situational since Hundred Fists is generally only used in instanced fights such as garuda or the Castrum Novum fight and Spinning Heel is a great TP gain for zerg fights such as Miser.

Next is the Delay between each weapon. Without a doubt Garuda's Talons is extremely low delay while the relic is 0.1 above Ifrit's. This is one thing which Hundred Fists favors on relic more since delay is ignored when the skill is up. However, delay is more of a preference on how you want to gain TP. Lower Delay gives small amount of TP yet it's more frequent while higher delay gives larger amounts of TP yet less frequent. However I think SE chose 3.4 Delay on relic on purpose because with ifrit's 3.3 the amount of TP gained per hit is 330 (Without corselet or TP gain materia). With the relic 3 hits should boost you up to 1k~ tp instead of 990.

The stats of the relic itself turns a bit into preference when dealing with monk. Personally, I wouldn't take Crit Attack Power over Attack Power because even though I won't get the pretty crit on Howling Fist, I know all my skills will get a damage increase. Then there's the fact that the talons have acc while the relic doesn't, which if you ask me it isn't that big of a deal on monk(most of our gear already holds some type of acc). There is also the loss of extra wind damage which does actually add a nice bit of damage. However you get the 5 refresh which will do wonders in extended fights such as Hamlet. Then there are the less important stats of evasion and MP which are always a nice bonus, but lets not kid ourselves, the usefulness of the stats aren't that great.

There is one stat for every relic which is still a mystery to us all, and that's the bonus to the specified job action. I don't really know what bonus Shoulder Tackle gets from the relic so I can't judge it. I use the skill quite often in fights anyway so in the end it will at least increase my damage by something.

So are the weapons worth it for the quest? Well it depends on how you look at the weapons. I've already stated on how the monk relic upgrade looks like to me, and personally I do believe it is worthwhile, to answer the OP's questions.

can you tell me who got ifrit down to 30%?

Probably talking about the video the OP posted. Ifrit is down to about 30-35% HP by the time the nails are up.