It looks like with the latest update, the launcher is broken again. It appears to be related to BitRaider, according to the error log. I've tried installing SWTOR on both Fedora and Kubuntu both 64bit using Crossover 13.0.1. My error log shows this:
2013-12-06 04:44:48 INFO Formatted [http://cdn-patch.swtor.com/bitraider/support] to [http://cdn-patch.swtor.com/bitraider/support]
2013-12-06 04:44:48 INFO BitRaider required version is [1.1.9.9].
2013-12-06 04:44:48 INFO Using environment.name [swtor], productName [retailclient]
2013-12-06 04:44:48 INFO Using environment.name [swtor], productName [retailclient]
2013-12-06 04:44:48 INFO Formatted [brdestpath="{cwd}" brlocalebank={langid} id={packageid} -brnolaunch] to [brdestpath="C:\Program Files\Electronic Arts\BioWare\Star Wars - The Old Republic" brlocalebank=0 id=swtor_swtor -brnolaunch]
2013-12-06 04:44:48 INFO Launching Bitraider with command line: brwc_swtor.exe brdestpath="C:\Program Files\Electronic Arts\BioWare\Star Wars - The Old Republic" brlocalebank=0 id=swtor_swtor -brnolaunch -brnoui
2013-12-06 04:44:48 INFO BitRaider launched
2013-12-06 04:44:49 INFO BitRaider running
2013-12-06 04:44:49 INFO BitRaider Transitioning from Launch to Connect
2013-12-06 04:44:49 INFO BitRaider required version is [1.1.9.9].
2013-12-06 04:44:52 ERROR Error [1048677] encountered while retrieving BitRaider version
2013-12-06 04:44:52 ERROR Failed to retrieve BRWC Version.
2013-12-06 04:44:52 ERROR Failed to initialize BRExtPipe.dll
2013-12-06 04:44:52 ERROR BitRaider_GetVersion::DoInvoke: BitRaider client initialization failed.
