Ok, here're my findings:
Code:
OnShow="/log OnShow=' '"
Logs to \EverQuest II\logs\eq2log.txt
Code:
OnShow="Visible=false OnShow='/log OnShow=OnShow2'" OnShow2=" "
Logs to \EverQuest II\logs\Servername\eq2log.txt
I can't seem to find a way to make it automatically properly log to your character's log file... the problem in this case is sorta yours Binton; I only have one character (I believe alts are a waste of time), so this single log file thing doesn't impact me negatively.
I tried many things and the two above lines are at maximum compactness; they were bigger and did the same thing at some point, but I went for efficiency. The group window (which I tested in) only is given the command to appear twice and forcing Visible=false a second time makes it closed until you manually open it upon log in, though when you manually open it that third time, assuming slightly different OnShow code, it started writing to the proper log file. Forcing a third open in OnHide happens too quickly to be any different than the second line of code shown above.
Quib