zombie84 in avsforum wrote: The SE, unfortunately, shares the same copyright, because they chose not  to file an additional copyright but instead filed it under the original  one.
I don't think this is the case.  Here are the LoC SE records:
http://originaltrilogy.com/forum/topic.cfm/Save-Star-Wars-Dot-Com/post/461093/#TopicPost461093
 
Here are the Special Edition Library of Congress records:
 
1997 - Star Wars A New Hope Special Edition
http://lccn.loc.gov/97510343
Acquisition Source:    Received: 4-1-1997; viewing print; copyright deposit--RNR; Copyright Collection.
 
1997 - Empire Strikes Back Special Edition
http://lccn.loc.gov/98502262
Acquisition Source:    Received: 3/17/97; ref print; copyright deposit--RNR; Copyright Collection.
 
1997 - Return of the Jedi Special Edition
http://lccn.loc.gov/2006642053
Acquisition Source:    Received: 5/23/1997; viewing print; copyright deposit--RNR; Copyright Collection.
and in those records is the statement:
Edition Special edition / producer, Rick McCallum ; editor,  T.M. Christopher ; sound designer, Ben Burtt ; photographer-editor,  Brian Q. Kelley ; visual effects art director, TyRuben Ellingson, Mark  Moore ; visual effects producer, Ned Gorman, Tom Kennedy.
Notes Copyright: Lucasfilm, Ltd. NM: new visual effects,  sound and new footage throughout. DCR 1997; PUB 11Feb97; REG 18Feb97;  PA784-125.
Summary taken from Baseline document.
Sources used: copyright data sheet; copyright data base; Baseline data base.
Not sure what NM means.  New Medium, maybe.  So these record shows that it's a new copyright claim, but built off a previously filed one.