The story was great and the characters were likeable. I would rate the plot as better than the second and third films. So the problem wasn't with the story.
The problem was that a lot of people were having poor frame rate issues as well as some other issues that were ruining their game experience. Also, there were quite a few who did not agree with the QTE gameplay. Also, like stated above, unlike Heavy Rain which the gameplay was inspired by there were no altering paths. The story would always be the same.
That's why the game is constantly bashed. However, I enjoyed the game. I like the story, didn't mind the QTE's, and apparantly I had less glitch issues with the game than everyone else. Overall, I enjoyed it as an interactive story. But the general gamers didn't want an interactive story they wanted something more.