Launch a new terminator window with a keyboard shortcut without starting a new process

The answer to this problem for terminator and remote systems is to create a terminator profile, where the command it runs 'as a login shell' is the SSH connection string used to access the remote server. It is prefered to have SSH key based authentication or openssh controlmaster/controlpath setup to have connection sharing.

Exerpt of a terminator config for this:

~/.config/terminator/config

[profiles]
[[default]]
 scroll_on_output = False
 exit_action = restart
 scrollback_infinite = True
[[remotehost]]
 use_custom_command = True
 exit_action = restart
 custom_command = ssh user@remotehost

And simply run terminator -p remotehost to use this profile. Each time you 'split' terminals, it uses this profile and thus opens a new SSH connection.

For ssh controlmaster, see: http://www.debian-administration.org/articles/290

Looking at ~/.config/terminator/config, for some reason it was using <Primary> instead of <Ctrl>. After deleting the keybindings section, the original shortcut Shift+Ctrl+I for new window works.