30 days almost up and I still can't enter endgame due to droprate

[Frozenkingk0]

[TL;DR I have had 1 paladin sword dropped in 205 Ifrit Hard Mode kills. I don't feel geared enough to continue my relic weapon quest with my level 55 green scimitar.]

Hey Guys,

I reached level 50 Paladin a little more than two weeks ago, and have been taking on Ifrit hard mode on a daily basis. I have run the boss 10-15 times a day, which have totaled a whopping 205 runs. I recorded all my drops since I started, as my friend also seemed to have had trouble getting their specific item drop.

Here are the results:
Warrior Axe: 61 (29.8%)
Scholar's Codex: 42 (20.5%)
Arcanist's Grimoire: 35 (17.1%)
Monk's Arm: 28 (13.7%)
Black Mage's Cudgel: 13 (6.3%)
Dragoons lance: 12 (5.9%)
Bard's Bow: 8 (4%)
White Mage's Staff: 5 (2.4%)
Paladins Sword: 1 (0.5%)

Now, the fact that I even saw the Paladins Sword, and rolled a need and got 2 is beside the point. The problem I have is this: I have basically mastered this boss fight, attack patterns and all. I have run this with varying parties, such as 6 dps, 1 healer and 1 tank, where I both tank and stun Ifrit, and even going with 5 dps, 2 healers, 1 tank where 1 healer goes cleric stance and dps's for the first half of fight until nails. The best time my party could reach with average level 50 gear was 8 minutes 53 seconds.

I have created numerous parties from having one person of each class in the party to test my theory that if you have varying classes, at least someone will be able to obtain their desired weapon. This did prove to be the case, and the party agreed to rotate out if they got their weapon drop to allow somebody else into the pre-made party to have a chance for their weapon drop as well. It was noted that there was a difference in the usual drop rates, however it returned to its basic pattern of dropping an axe for example, when our Warrior left and we couldn't find another one so we had to use a paladin.

I conclude that I feel as though I have successfully wasted two weeks of my subscription fighting Ifrit hard mode just to progress with end game content. A simple fix to this problem may be implementing a token system similar to the tome system currently in place to obtain your weapon, or to even have a vendor let you trade in two other weapons from a different class for your own class specific weapon.

Thanks for reading guys, and may the light of the twelve shine bright upon you.
SEpls.

EDIT:
Quite soon after posting this thread, I went in and started my relic quest and I am up to Titan Hard mode. I am yet to defeat Titan, however I am using my level 55 GC weapon. I have given up on continuing my quest to obtain Ifrit's blade as I now believe it is not for me.

To those people who commented on this thread completely hating on me: I would not have run Ifrit over 200 times if I knew I would not be able to obtain the sword. I went into this with the mentality that there is RNG in the game, and that EVENTUALLY I would have been able to obtain the sword.
Furthermore, ANY damage increase in a sword assists generating eminity, no matter how small the increase may be.

My goal in this game is to become one of the best paladin's on my server, and assist people throughout the server on any problems that they have running dungeons. Due to this, I went out today and purchased the last 60 day time card at my local gamestop to achieve my goal.

Thanks to everyone who has supported me, and enjoy your days in Eorzea