Thank you to whomever posted this first.
This could be done for all windows, or any window really if the rule is written properly. In ccsm, in the Window Decorations menu under Effects, change the "any" field for decoration windows to:
!(class=Gnome-terminal)
In theory, you should also be able to write it as follows when launching gnome-terminal with the proper options, but I couldn't get it to work in practice. For example, gnome-terminal --title=tmux_terminal as the original post suggested. I couldn't get --name to set either.
!(title=tmux_terminal)
