As someone once said "things fail when you switch them off and on again" so it's going to stay on until the new computer arrives. The monitor's switched off when I'm not using it.
I wonder if that quote is based on old designs. I have always turned televisions off when not in use - which would be several times per day - and they've always lasted for years. I'm not a Mac Technician but I would assume that they're built with a device that adjusts the power in stages when the computer is turned on, to reduce the impact of full voltage.
My practice is always to logout and set the monitor to sleep during the day. At night the computer is off.
ryck