Screen Saver running in Log in screen??

I feel like I'm in fifth grade asking a really simple question, but I have a G3-400 (running a G4-500 CPU) with OS 10.2.8 and I just got a really cool screensaver from Apple. Is it possible to allow this to run when I log out and the Log in screen sits there doing nothing? I have 3 different account logins, 1 for me, 1 for my wife, and 1 for my daughter. Every time I log out I end up turning the monitor off because I have noticed that my 4 year old 17" studio monitor is showing signs of "burn in"

can a screen saver be run in the "log in" window?

Thanks, Sparky