Unfortunately, the booting process and the amp-remote lead are hard wired electronics and not software controlled. (Well, OK, they're probably PIC code but that can't be changed so it might as well be hard wired.)

So you can't, for example, use a software patch to tell it to "not boot at all". When you apply power, the hardware is what turns it on, not the software. The software is only loaded somewhere after booting.

You also can't tell it to "not turn on the amp remote", as that is also part of the hard wiring. No software code could alter this at boot time. If the VFD is on, then the amp remote is on.

Now what you COULD do is hack the kernel so that it doesn't come on for as long. Instead of 10 seconds of static you might be able to reduce that to just a couple of seconds. This could be done by telling the kernel to shut off the display as early as possible in the boot process. But then you'd get no pretty bootup graphics.