Pretty much ANY CRT monitor will be prone to burn in.
AT work, we have a CRT monitor attached to a high-volume printer (Which made me wonder. If we're already paying close to 1/4 Million bucks for a printer, why not stick and LCD monitor onto it

). This monitor (Despite having a screen saver on it) started getting burn in about 9 months after installation. This SVGA monitor is 2002 model with a touch screen attached to it.
No CRTs are immune. Muhahahaha!

Oh and congrats on yuor choice of Arcade moniotor over crappy-unauthentic PC (yeah! That's right

) monitor.
As long as you don't leave the monitor on with the same image displaying for hours on end, burn-in will not be an issue.