Well, I looked at your fflogs and TBH since you only have 1 parse on SMN on O5S, 2 parses on PLD on O5S, 1 parse on DRG on 6, 1 parse on SMN on 6 and 2 on PLD on 6 it's difficult to tell how you're doing really. A total of 3 wins on 5s and 4 on 6S shows that you haven't spent much time in either. These parses are also early on in the content so your gear is going to make a ton of difference. What this shows me is that you haven't spent time trying to optimize your role. Without optimizing your bursts to line up with raid buffs as long as you're optimizing your own role you should be hitting around 50th percentile. So, what does this mean for you personally? Basically, hit the gym. You were running races with friends and you just went to a track meet and got blown away. You shouldn't have this shake your confidence, what you should take from this is that you need improvement. 9th percentile shows you have a ton of room for improvement that can EASILY be done by simply speaking with other SMNs who are running 90th percentile.
So advice. Seeing that you're running as SMN, DRG and PLD with PLD being easily your higher performance this tells me that either PLD is easier for you or you've spent more time on PLD. TBH PLD rotation is pretty simple. All tanks rotations are pretty simple compared to DPS rotations.
Get your rotation right. So first make sure you're getting your base rotation down. Speak with people on your server who are 80th percentile and above to find out what their basic rotation is and hit a striking dummy. And by hit a dummy, I mean spend more than just a few minutes. Hit the striking dummy until your basic rotation becomes muscle memory. If you've built up bad habits with a different rotation, you need to spend enough time on a striking dummy to reset your muscle memory because when you get into savage and mechanics are happening you tend to revert to muscle memory.
Work on one class at a time. Trying to improve more than one class at a time is like trying to learn more than one language at a time. You're going to lose performance in one class as you're learning something new in a different class (besides not being able to gear up more than 1 class at a time, you're going to get some false negatives from the classes you use that are less geared).
Set goals. Setting goals will go a LONG way in both improving your confidence and your performance. So you're in the 9th percentile on SMN right now, set a goal to be 50th percentile in 2 weeks (assuming you have good gear this should be an achievable goal).
Learn the fight. This is probably the 2nd biggest reason people don't do well on savage content, the first being DPS rotation. Learning a fight is going to be just like learning your basic rotation. The more you do a fight the more muscle memory starts to kick in and your performance will improve over time (even if your rotation and gear sucks, just getting the timing down will improve your performance) Learning the fight requires more than just watching the guides too. Understanding the fight and each phase well before going in will help your percentile on your first clear and I recommend watching not only guides but clears from the POV of the class you intend to use.
Once you have your DPS rotation right, know the fight well and have good gear you should be able to hit around 50th percentile consistently. At 50th percentile, you still have room for improvement. In case you didn't know, 50th percentile means average and being average isn't bad. It means that you are performing as well as most other players (50% of players are worse than you, 50% of players are better than you). Now you can work on trying to be an elitist scum and go from a C, to a B or even an A.
Elitist scum tier. Once I get 50th percentile I try to work on getting at least 75th percentile. To achieve that, you need to start optimizing your rotation so that your burst lines up with raid buffs (trick attack, balance, fey wind, brotherhood, hypercharge etc). Since these things are out of your control, it's easier to get 75th percentile in a static that try to align their buffs. When other good players are running with you in pug, you can expect that raid buffs will align better and it will be easier to hit that 75th percentile with other good players.
Every class that depends on raid buffs will perform better in a static than in pug, however if you run with a ninja, mch, mnk or ast friend you can still work together to align your bursts and improve your performance. With an AST, if they're feeding you balance (which does happen quite often with people pugging in 90th percentiles) you can both help each other (like mana shift your AST or do a swiftcast raise for them, addle for raid wide magic damage, apoc during a magic tank buster so your healer buddy doesn't have to heal as much and can continue DPSing)
Once you're in the 75th percentile, to get higher you now need to start min-maxing. Aligning your buffs with raid buffs, holding your burst when the boss is about to move out of range or become untargetable etc. And to do this you need to be intimately familiar with the fight. Spending more time doing the fight will improve your timing in that fight. Think about how the fight will progress and plan for what you're going to do. If everyone is working together, you'll be able to hit that 90th percentile. If you DON'T hit that 90th percentile, don't let that get you down. 90th percentile is difficult to get. If it were easy, it would be 50th percentile.
In summary, pick one class to improve; speak with other players in 90th percentile to steal their secrets, learn the fight very well. Practice, practice practice.