What I've read is that the PS1 doesn't have the capability of doing 2D games in the sense that the NES, SNES, Genesis, Saturn, etc. could. It would emulate the behavior by using transparent polygons on a very wide, very thin vertical plane, then slap sprites onto them. This is obviously not the greatest way to do it, as you have the system doing calculations for polygons that are never even seen.
Here's where I first read about it, on VGMuseum (and it undoubtedly explains it better than I):
http://www.vgmuseum.com/mrp/cv-sotn/...turne-port.htm
It deals specifically with the Saturn port of Symphony of the Night, but goes into the details of the PS1's lack of real 2D capabilities.