No, he's refering to how bright and colorful the images are.
the textures or the atmosphere itself look kinda "vivid"(Don`t know how to explain it but it`s kinda bright or something like that)
He doesn't sound so sure to me. Jaggies will cause colours to shimmer on certain textures, it can give the illusion of them being alive, busy or vibrant (although I'm not saying that this is necessarily what he's referring to). There are plenty of consoles that don't have the PS2's visual character, but suffice to say the kind of effect CRT has on images (bleeding colours etc) is the very thing that monitors are designed to move you away from, so reproducing the look is not going to be easy.
Chances are, the effect is a combination of a relatively low-res image, natural anti-aliasing from the screen and the PS2's interlaced signal. Given the PC's hardware (and the fact that PC gamers won't go for low-res imagery with burned-out colours and textures that update funny) Sswift is probably giving you the best advice possible in suggesting that you just work at getting a good palette together.