That somewhat defeats the purpose of calling it 'resource management' though. The term implies that people would actually be 'managing' their TP drain, rather than just strapping an external bard battery to it. If this were the case, or if more expensive options, like AoE on a mere 3 targets in a long fight, were ever feasible, then Bards would indeed be a reinforcement or accelerant to an already 'managed' resource. As it stands, though, they are simply a necessary component to any 5+ minute fight with TP users.
Consider also: would they then be gone completely from the end game scene as soon as they go from 'necessary if you bring melee' to a 'melee dps boost'? Or, going further, do they necessarily have to fall well behind other classes (not that this is the case on multi-DoT trash too spread for Bane or burst needs at all) just because they have the option of chopping their own dps for raid benefit?
[For the record I'd have to say yes to the last; my only concern is that their single target dps falls significantly without multi-dotting, a situation in which they already do just fine, in a all-or-nothing sort of manner. BLM's Thundercloud could be called much the same, of course, but TCs' use is more of dot maintanence itself, as redundant procs would add little to single target dps (aside from the strong DD burst) compared to oGCD Bloodletter spams.]
Edit: the closest I've ever seen to 'TP management' is Monks either already in TP starvation with the bard dead trying to make the most out of fewer GCDs per buff/debuff period or cutting an ability from their rotation (replaced with a wait and/or slower rate of application) per buff/debuff period to stave off starvation because their Ramuh DF supplied neither Ninjas nor Bards. Of course, the same could be said of Dragoons or Ninjas; I just haven't seen that personally enough to comment.