I sometimes like to compare the Devils to some WWF supertars like Triple H, Vince McMahon and Kurt Angle. Sorry for those who don't like pro-wrestling but that's the best example I've found. They use all the energy inside the building to their advantage, whether it's positive or negative energy, and usually, the more "boos" they get the stronger they feel and the more confident their voices sound when they talk on the microphone.
The Devils are arrogant (I must admit) and there's nothing they like more but to shut the crowd up and making them "boo". They love that. I can't explain the phenomenon but I can undertand it. Some people will be at their best when they get cheers, some will be at their best when they get boos. The Devils like the boos. They feel at ease - to not say 'strong' - with it.
I know this - or I - might sound pretty stupid and unclear to many people but I don't have any problem with that, as I experienced the whole thing many times myself and have a friend who's a "top" at using negative energy to his advantage. I guess it all depends of your personality and it looks like most of the Devils players have this kind of personality. They prefer the 'boos' over the 'cheers'.