The Saw movies and Dante?

So, I've only actually seen Saw II, and the beginning of Saw III, but I was  thinking about it, and they seem kind of reminiscent of Dante's Inferno. At least, Saw II seems that way. The whole concept that these people didn't appreciate their lives and do good with them reminded me of the Inferno, where the souls who in life had not lived without sin had to be punished.

So here's the basic synopsis of Saw II:   Link
A message was left at one of Jigsaw's crime scenes, for detective Mathews. Mathews and a SWAT team find the Jigsaw Killer, John, in a factory of some kind, where monitors show eight new people stuck in one of John's games, in an abandoned house. Among these eight people are Mathews' son, Daniel, and Amanda, the only known survivor of John's games. John assures Mathews that if he just stays and talks to John for long enough, he will find his son safe. This proves impossible for Mathews to do, however, even though he initially tried to do as John asked. He attacks John and starts beating him, desperate to get his son back. In the house, the victims have a hard time working together and listening to the rules. In the house, a gas is slowly poisoning them, but there are antidotes throughout the house that they have to find/complete tasks in order to get.

A lot of the tasks the victims must go through remind me of contrapassos. They're not exact, but these people are being punished for something they did/didn't do in real life. The morbidity of it and the various things they must do remind me of Inferno. There are tasks that are designed for each of them to do where they have to face a fear or live up to something shameful in their past. For example, Amanda is forced to search for an antidote in t pit of needles, and she used to be a drug addict. Here's a video:

The whole feel of the Saw universe to me, feels like the Infero. Like people need to face up to/be punished for things the had done. But it's also like a very messed up Purgatory, where they can repent for the things they had done by completing the tasks and facing up to their "demons" which (I believe, but I'm not sure) is what Purgatory is about.