It's absolutely impossible for it to be a better gaming screen than the original Vita screen. It's not OLED.
I haven't seen the current Vita screen so I can't compare that.
No, but as any OLED it has basically instantaneous switching times with no RTC artifacts, and far better contrast than any LCD screen.
I am really hard pressed to come up with any way in which any LCD (regardless of price!) can be better for the purpose of gaming other than resolution.
That's a narrow-minded way of looking at things.
Yes, OLED panels have best-in-class response times but I would never judge a screen's display solely on that metric.
For me a truly great display on a handheld device has to have:
1) Acceptable response times
2) Good colour calibration - either to the sRGB standard, or if the OS is colour-aware, automatic switching between sRGB and DCI-P3 like iOS does depending on content displayed.
3) Low reflectivity
4) High peak brightness
5) Good power efficiency so the user doesn't need to micromanage brightness and can rely on the autobrightness setting to enjoy max brightness outdoors
6) High true contrast ratio (dynamic contrast ratio is meaningless)
7) Solid viewing angles.
Vita-1000 gets 1) right, and absolutely fails at 2), 3), 4), 5), 6), and doesn't do 7) well at all since its white point is too blue-shifted. The deficiencies in those areas are why I'd never go back to my Vita-1000 as having faster response times isn't going to make up for the issues elsewhere. For 99% of players, the response times of the IPS display in the 2000 model are good enough, and those players would also appreciate lower reflectivity, higher brightness, better power efficiency and so on.
I do think good response times are important, but as mentioned above, LCD tech is at the point where they are *good enough* for nearly everyone and every game.