Dragoon wasn't really broken. If the player was good and used their rotation correctly you could roll extremely high Dps even before 3.0. Proof in the pudding is that none of Drg's abilities were actually buffed or nerfed with 3.0. They only added the new mechanic of Blood of the Dragon (which essentially turns Drg's into monsters). People only looked unfavorably at Drg's because of the persisting notion of them dying frequently which carried over from FFXI. Sometimes the "lol Drg" is justified, because their jump animation tends to get them caught in AoE's when everyone else can move (hence why their jump animation time has been adjusted twice, that I can remember). Otherwise though, the job was fine and nothing was "fixed." It was only hyped in HW advertisements to get people more into it.
War had serious problems that made them nearly unplayable in the First Coil. A lot of those problems are similar to what Pld is facing now, especially Tp consumption (which was also a War issue and subsequently saw every combo finisher they have reduced in Tp cost in 2.1), but War still had it worse back then. Their Cd's were awful and made then unsuited for Tank Busters. Their Hp regen was heavily nerfed compared to now, and they ran dry on Tp all the time. The only thing they exceeded at was Threat generation.
By comparison, Pld is a tiny bit better off. They're not strictly unplayable in end game. They're just ridiculously unbalanced and substantially harder to play than War's and Drk's. The rest of the team has to cover the slack, and that's not cool. There's also the added community stigma of them being wimpy compared to Drks and Wars (dmg wise), so less and less people want to play as them.
Right now, its definitely a safe bet to say that Pld is by far the job in FFXIV that requires the most attention and fixes from SE. I just hope that it doesn't take a full expansion (Drg) or a mass abandonment (War) to see it happen.