Battle Voice never augmented songs for the bard that was singing them. The fact that Battle Voice continues to not affect the bard that used it isn't a new thing introduced with Stormblood.
And actually, bards did less damage than most other jobs (well, used to, that is; we fair pretty well now) because of their high mobility. That was their primary reason for doing less overall damage; second was because they were primarily a support-type role, i.e., not a job like BLM or MNK or SAM where there is mostly raw damage/big-dick numbers and minuscule party-wide support. In all actuality, a lot of people are calling for RDM to be nerfed because of it's high mobility, followed by it's ease of play and support capabilites; it's considered "too OP" as it is right now.
It was already established by SE that if bards were going to be fully mobile, they needed to sacrifice some of their personal DPS for the sake of balance. When Heavensward launched, bards lost their mobility, and, in turn, gained a permanent 30% damage increase to all their actions (the original Wanderer's Minuet), although the skill itself took a bit of tuning after it was introduced to not be so clunky. I think most bards were pleasantly surprised to see that, in Stormblood, we still retained quite a bit of power with the return of our full mobility, even though a few of our abilities were adjusted and nerfed, probably as a way to balance the job (Bloodletter was nerfed from 150 potency to 130; Raging Strikes, while given a shorter cooldown, was reduced from 20% damage increase to 10%), and then others we lost completely, (damage from Repelling Shot, Blunt Arrow, Hawk's Eye and our other offensive oGCDs, and forever RIP our Flaming Arrow fire circle...oh, and Wide Volley). Sitting here imagining Stormblood bard with all the skills and offensive buffs we had in Heavensward PLUS our new abilities...we would be so insanely OP everyone would be making "Pls nerf BRD" thread instead of "Pls nerf SAM" or "Pls nerf RDM."
Like another poster said, bards do get benefits from our songs; they just differ from the party's benefits. Like with Army's Paeon: for each Repertoire stack, we get a 4% haste buff, stackable up to 16%. No one else in the party gets that haste buff. Mage's Ballad has our River of Blood trait, and the new Wanderer's Minuet is basically what contains a lot of our burst for our opener (a 3-stack Pitch Perfect is 420 potency).
You entitled to voice your opinions. Regardless of what you think, however, there has to be a balance. If all jobs brought insane support capabilities and insane DPS, then there would be no balance at all with regards to party composition or even content. And you say we "scrape the bottom of the barrel" and that SE has "crapped all over our DPS," but bard is in a really good spot now in terms of DPS despite some of the things we lost from Heavensward bard. They were in a good spot at the end of Heavensward, too, with some of the highest parses in Savage content belonging to bards and also machinists. Try as you might, there will always be someone on the bottom, much like there will always be someone on top.
With regards to DRG, I don't play the job that often, but I know a few people who do, and I don't think they think DRG's DPS took a hit because of the added "support" they got (Dragon Sight, or Lord of the Dragon, or whatever it's called). Again, though, I can't really speak for DRGs, but there are a lot of jobs right now that need balancing and agjusting. SMN has some support-type ability (Devotion, I think it's called), but that's definitely not what has the job in such a weird spot right now. Same thing for poor MCH.
Believe it or not, serious progression groups pick jobs with the support utility that bard has because it helps them with their progression. Only a fool wouldn't take a job that has the support bard has into a serious savage raid environment, and really, that goes for if any job had the support bard has.
Bard is fine just as it is now; a lot of people think so. Even I think so, and I was one of the few bards who actually played all through Heavensward with the old Minuet, and didn't care too much about the cast times I had. And like Shurrikhan and I have both said, if SE were to decide that bards were to get the benefits of the 2% crit buff each song gives, and also receive the 15% Direct Hit increase Battle Voice gives, they would take away elsewhere because of balance. Like Berethos said: You can't have your cake and eat it, too.