Is bard dps the weakest?

[Thotor]

But I do get your point. We attack more. I just don't see it adding up as much as black mages or summoners.

I wish the same.

Like you said our scaling from WD/Determination is lower compared to other class.
However we have a higher scaling from crit just because of bloodletter proc.

Is the scaling the same as other DPS ? That's very hard to tell.

Also there is very important part in BRD rotation : crit buff (also damage) must be applied before any DoTs. If this not done correctly, the dps loss is HUGE. Less crit on DoT ticks but also a lot less Blood letter proc.
Even with broken parser, the difference is about 20 dps between a good and a bad rotation (this is from personal experience)