"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 ..." Yet, it looks like they didn't, likely because they would have been much, much lower than the $150,000 per infringement available under the statute, and they wanted the jury to think big numbers. It was a tactical gamble, the same type made daily in trials across the country.
Like I wrote in the post, Congress can't simply call a duck a goose and get around the due process protections established by the Gore, Philip Morris, and Campbell cases. The statute's language does not trump due process and the fundamental fact that we have actual damages proven at trial (~$0.99 per song) and a grossly excessive award ($22,500.00 per song) awarded by way of a punitive element ("willful"). They are "punitive" damages by any measure.
That undoubtedly triggers due process protections.