Hate to say it but you're kind of making bard sound harder than it is, and monk can definitely do better if the player doesn't suck, so maybe your monks just suck. Bard is great dps , the rotation is really easy if you macro it, you're making it sound like it's rocket science but in reality once you get the rotation down it's a cake walk. I out DPS relic bards who don't know their rotation. Yes, you cleared turn 4, but we have a group on turn 5 as well, and the only reason they keep bards is for Silence rotation. I never said it was wrong, but MNK's CAN out damage bards, their damage potential is insane if they are geared.
What's a bard's rotation?
Straight shots, buffs, two dots, and never miss your blood letters which can be completely mitigated by programming misery's end and blood letter on every macro you use so you never miss one. I guarantee you if I was in the same gear as you I would do just as much damage as you, but I also bet that a monk who knew how to play his class would out dps you. Hand down. Bard is easy mode, you have to worry about nothing, you can macro your entire rotation into 5 - 8 buttons, don't sit here and try to make it sound harder than it actually is.
Also, a good group rarely has a bard use songs mid fight, and if they do, they aren't on for very long anyway so you barely notice the 20% damage reduction, again , you're making it sound like it's super hard, but have you even sat on monk for 5 minutes? They have like 50 more things to worry about, on bard you literally stand in one place, mash 5 buttons, and make sure you're hitting your procs and not letting your debuffs fall, that's it. Say otherwise and I call bullshit, because that's really all they have.
Buffs ---> Straight Shot up always --> Two Debuffs --> Spam your move that gives straight shot procs, rinse and repeat for infinity.
- never miss blood letter
-never miss misery's end