If you want to believe parity is a reality, I'd like to offer you an opportunity to by ocean front property in Nevada. The reality is, free agents can sign where they choose. Signing with the Pats is a huge opportunity to get a ring, and to those who already have enough money salted away, it's their ultimate goal. We've seen it happen with Randy Moss, and a dozen others, who have signed with the Pats who aren't offering the most money for their services.
I don't object to this happening - in a way - but I do believe that when you talk parity, it's an illusion. There's a reason some teams stay at the top, or near the top, while others are scrubbing out wins year after year, no matter who ends up as GM and Head Coach. Once in a while, they'll have a year with success, but that's simply a matter of luck, based on guys actually performing up to their capability level.
As for why Jones didn't pursue him harder, in Dallas, I'm not certain we can say he didn't. The lure of the ring in New England would have well been more of an incentive for Brown, in my opinion. Then there's perks. I have no idea what kind Kraft has cooked up that will benefit Brown even more than his salary. But, rest assured, they're out there, or Brown wouldn't have rejected offers from other teams who were more than likely offering more, but were less likely to help him get a ring.
Parity has been dead for decades. The talk of Green Bay being the "Siberia of football" is still well remembered to a lot of us. The Packers couldn't compete back then, and in reality, had we not been lucky enough to get someone as charismatic as Favre as our QB, there's a good chance the Packers would be dwelling at the same level as Jacksonville always has.