From what I know of Paula Deen, she didn't mean anything malicious or hateful. There are still parts of this country where that language is "normal." It's the way people in the deep south were raised. That word has only become taboo in the last 30 or so years. Some habits are hard to let go. Ask her about butter and cigarettes.
Granted, she should have known better. Paula has been around enough to realize that times have changed. This has killed her career, and I think that's punishment enough. But who here hasn't said something they regret, and wish they could take it back?
As for her sons, Bobby's show will probably be pulled. Jamie's show features Paula very rarely, but I think that both sons will suffer for this.
I feel sorry for all of them.