Statutory damages are not punitive damages. Statutory damages are compensatory damages, for when calculation of actual harm is impossible or practically so, though harm clearly exists. Here -- it's clear that the record company lost some money from the defendant's file sharing eating into sales, but how much?
Statutory damages are the only compensatory damages that are allowed to account for the legal costs of pursuing action. Attorney's fees are not awarded as part of compensatory damages, and are usually are only available for intentional torts. Finally, Statutory damages are in lieu of all other compensatory damages, and judges will rarely if ever grant punitive damages alongside a statutory election.
In response to your arguments above: Philip Morris is a punitive ("make an example of") damages case. It only applies to punitive damages. It does not apply to compensatory damages.