It has everything to do with latency. Most software takes more than one frame to react to input, so halving frame time noticeably reduces latency. I'm also an "old school quake head", and I'm just as sensitive to latency. I stuck with a CRT until true 120Hz LCDs became available, because they are the first LCDs that aren't an obvious step down from CRTs. Even so, in a side by side comparison the CRT has slightly better motion quality, so we really do need 240Hz LCDs.
Note also that CRT flicker is a good thing if you're displaying fixed framerate 60Hz content (and there's a lot of that out there), because it's the only way to avoid sample-and-hold blur without adding more latency and motion artifacts with interpolation.
If you care about quality you should care about arcades. Arcades force ruthless competition between games. Only the best earn enough to be worth their floor space. Developers are forced to innovate, and good ideas spread to the rest of the industry.
This essay explains the greatness of arcades:
http://insomnia.ac/commentary/arcade_culture/
First I had to get up and retrieve it from its special storage shelf. I was surprised at how heavy it was. It didn't have any search functionality, so I had to manually find the index, and then find my search term in the index. The pages didn't have any backlighting, so I had to move it to face the light so I could read it easily. The contrast ratio was rather poor. Most of the words in the book were not indexed at all, but luckily my search term was present. I couldn't click it, and I had to manually find the correct page again. There wasn't any highlighting either, so I had to manually search the page too. I read my information, and them put the book back onto its storage shelf where it uses a ridiculously huge amount of space.
On the plus side, the resolution was high, but that's not enough to make up for all the other annoyances. Books are obsolete.
"Don't drop acid, take it pass-fail!" -- Bryan Michael Wendt