This is partially the same thing I guess, but I have the same monitor I received in 1998 with my than brand new Dell system.
Other than a couple long stints where my computer was down and being fixed or for some other reason HAD to be off, i've left it going, along with the monitor, but only in standby. Even if I DO turn off the computer now, i still leave the monitor on in standby
After what is essentially 7 years of doing this with this monitor and having it hooked up to multiple systems over that course of time, it still works as flawlessly as it did than, and is as bright and clear as well....Now, i don't know if arcade monitors, or moreover, a television could handle that, but setting your monitor to enter standby after 30 mins shouldn't be too hard of a hit on it, and from my usage habits, will seemingly last at least 7 years ....thus far
....knock on wood
(ps, i do have to admit that after 7 years, the adjustment knob for the screens brightness and geometry gives me a fit at times, but still workable with a lot of patience and deep breaths)