Healers... sure secondary concern.
Tanks... DPS is basically an equal concern to us not dying and positioning. Once you learn how hard a tankbuster hits and the timings of them Tanks should start pushing thier numbers because outside of cooldowns everything we do is DPS. DPSing is part of tanks simple as that.
With regards to DPS currently struggling as a job, that is a job issue that needs to be addressed. RDM and NIN are the two jobs right now that are undertuned. In SB I remember it being a variety of different jobs being undertuned, DRG, SMN, MCH were the main culprits that needed time to get their much needed buffs followed by other jobs getting their own buffs. We are at the start of a raid tier, and a new expansion. We have hit the wall where some jobs are indeed undertuned and they need buffs, thats fine it happens. It isn't a problem with raid design, its a problem with undertuned jobs.
When it comes to encounters however, I would argue there are fights that make some jobs more difficult to play than others just because of how they are designed. In E1 and E2 I would argue so far PLD seems to be king in those fights simply because there is quite a bit of time you have to move away from the boss as well as in E1 where you can hit multiple targets to pad your numbers while WAR and GNB feel clunky in E2 from what I have seen. The same can be said for other encounters of what they ask of you, but as some people have stated E2 DPS check feels rather tight and I have to agree... but its not necessarily for the same reasons as others have pointed out.
E2 has a brutal and I mean BRUUUTAL DPS down portion of the fight, especially going into the final push of Quietas where you are getting bombareded with those darn heads. The last push is difficult to keep as many players not only alive but with no DMG downs which is a giant roadblock that teams just have to get over. Everywhere else in the fight feels managable to where people shouldn't be dying or getting DMG downs going into Quietas.
Quietas is going to be where your DPS dies, this is why the DPS check is so strict because its not 1 person usually getting DMG down its 3-4 people sometimes more getting the DMG downs. Remeber these DMG downs are half of your damage output so when multiple people get hit... your raid damage is going to plummet.