I suspect you mean the plaintiffs. In any case, it really doesn't matter; the damages in this case are not separable into punitive and compensatory parts. You can argue that this is unconstitional, but you can't argue that that damages awarded are unconstitutional on the basis of your or the defendant's estimate of the compensatory damages, seeing as those aren't what the jury used in their determination of damages. So your $0.99 "actual damages" is a red herring. Had there been more of an onus on the record companies to provide more evidence of actual damages, they would almost surely have been able to provide at least rough estimates, using studies that were cited in the expert testimony of Stanley Liebowitz. There was however, no onus to do so, so it was reasonable for the plaintiffs not to go in greater detail here.
> Your argument about other unproven damages
What argument about "unproven damages"? I have not used that language, please don't put words in my mouth. It's fine for you to quote me; please don't misparaphrase me.