Pre-Lombardi, Green Bay was the last place you wanted to be on Earth.
When he was there, he rode his players mercilessly. But Vince always managed to slip in an occasional encouragement or carrot or two. Ultimately, I would say they loved him more than any group ever loved their coach. It was much less about the money in those days, and Belichick is really old fashioned in this culture, in a good way in my opinion. Randy Moss is a good example of someone who felt all of these things, but at the end of his time here, couldn't help but be overcome by all those cultural pressures that compel modern athletes to think selfishly.
Obviously, they've been able to find enough guys who both get it and want it, and it's tough to replicate that. The Falcons did a pretty good job this year, though. They'd like some play calls back, but they didn't choke.