I personally really like the new camera style and the controls. The new cutscenes and endings and ghost moves add a lot to the game, the graphics are far better then the original's already nice graphics (this game is the best looking Wii game I've ever seen), the new ending song is amazing, the fact that the endings are tied to your actions is a great thing, the combat is really fun and is more immersive with the new controls, the ghost hand is an awesome addition. I love the fact that it can hurt you now because you aren't even safe when picking up items (that and the ghost hand does a great job of making you jump even if you know it might appear), the game's limited amount of healing items make the Survival part of the game much more prevalent, and the Dark returns are a great thing. They make you feel even more helpless and can really scare you when you forget about them (they are how Blooming should have been handled), and I like how tripping now has a purpose and that the ghosts gain new tactics once they've Dark Returned. I also quite like the new script. It feels more....complete if I can word it any way.
Pretty much the only thing the original has over the Remake is the voice acting and even then most of the voice acting in the Remake is well done and is good.
While I do lament the fact that adding information to Misao, the Tsuchihara family, or giving Kureha a proper role in the games' story never crossed the creators minds (also kill the Torn Diagram with the wrath of the Calamity, Repentance, Unleashing, Day without suffering, and Rite of eternal site) I still find this to be better than most video game remakes as even if you wanted more than you got it still gives MUCH more than most I've played and feels like the complete version of Crimson Butterfly.
While I love the original and feel it's still a great game, I personally much prefer the Remake as it gave me a lot more bang for my buck than the original did in gameplay, story, scare factor, and graphical eye candy.
So yeah my vote goes to Deep Crimson Butterfly being the definitive version.