if you run
light-lockerthrough SSH on the remote machine, it will lock your local display and not the remote one (just as running gnome-terminal or any other command will run it on the remote machine but display it locally).
I am not sure what "lock your local display and not the remote one" means.
To see what happens, can someone show me what commands I shall run to "run
light-locker through SSH on the remote machine"?
Note that I do not necessarily run
light-locker, I now use
xscreensaver as screen saver and locker.