Well, I finally dug into this thing and started reading up on it in depth. There are two main problems it seems.

The cable connector that leads to the monitor is a weak point. It loses a good connection due to minor flexing of the case and cable. Reseating the connector helps, but many have found the cable simply goes bad after doing this a number of times. A new cable does fix the issue, and is a cheap enough part.

The other problem is GPU overheating. This problem doesn't appear to be Gateway's fault, but rather Nvidia's. Some driver hackers have tweaked the flash image and moved the GPU voltage down from it's default of 1.12 Volts down to 0.9-1.0 volts. The improvements have been remarkable on most systems. A 30% reduction in temperature and 20% increase in performance at stock fequencies is not uncommon. The process is a bit difficult and advanced, not to mention risking the BIOS of both the PC and the GPU. I'm trying to think if I should do this or not.