The "Report a Bug" section of http://www.gnu.org/software/wget/ should encourage submitters to send as much relevant information as possible including wget version, operating system, and command line. The submitter should also either send or at least save a copy of the --debug output.
Perhaps we need a --bug option for the command line that runs the command and saves important information in a file that can be submitted along with the bug report. The saved information would have to be sanitized to remove things like user IDs and passwords but could include things like the wget version, command line options, and what the command tried to do. Tony