In the 5 years I have been buying and selling Playstation games on eBay, I have seen no pattern of price difference between the GH versions and the original versions.
Many people talk about prefering to avoid that neon green or red label appearing on their games, and some will shop with those requirements, but there is no price diff on the open market.
However, I do not know how this applies when the GH version is upgraded with new features, like the original Tenchu (PS1) or Silent Hill 2. I imagine the price for a upgrade version of a game is only "hot" if you hype it in your item desc., or if the game is in fact rare.
I myself did go back and find an original US/NTSC Soul Blade after thoroughly enjoying the GH version -- The GH version had a plain B&W disc label, and ads on the jewel case insert; the orig had a color illustrated CD label and game artwork on the inserts. This is the only game I have ever done this with. A completist might go the distance in an auction, but I personally have not seen any pricing trends effected by whether or not a game is a greatest hits version.