Can Punitive Damages Law Inform the Copyright Infringement Litigation?

I'm just now getting a chance to listen to UCLA prawf Doug Lichtman's really cool podcast on the relationship between punitive damages law and the copyright infringement litigation. I haven't gotten to the point yet where my voice pops up, which is all for good since I often cringe at the playback of my recorded voice.  Here's the summary of the podcast, which is part of Doug's ongoing IP Colloquium series: 

Joel Tenenbaum looks a lot like every other defendant who has been accused by the music industry of illegally sharing copyrighted work online, but with one key difference: his defense attorney is Harvard Law School Professor Charlie Nesson, and Nesson is out to turn his case into a public referendum not only on the music industry's efforts to enforce copyright through these direct-infringer suits, but also on the copyright rules that make the industry litigation possible.
In this program, we engage Nesson's key arguments, focusing especially on Nesson's claim that copyright law's statutory damages regime runs afoul of constitutional protections against excessive and/or arbitrary civil damages awards.
Guests include Professor Nesson himself; Steven Marks, General Counsel for the Recording Industry Association of America; and three of the leading academic experts on punitive damages: New York University Professor Catherine Sharkey, Florida State Professor Dan Markel, and George Washington University Professor Thomas Colby. UCLA Law Professor Doug Lichtman moderates.