The idea that teams "win" an auction, or that people actually "win" auctions in general is a dumb premise. The highest bidder makes an investment; the other bidders refuse to make that same investment because they don't feel it will be a good investment. The winner's curse is that in general, the team or person that wins an auction is going to be wrong more than are right, considering that they are the only ones who believe they are making a good investment at the price they've paid to win the auction. But the winner's curse is particularly true of high-profile auctions where players (or items) are likely to attract many knowledgeable bidders with significant interest; it is easier, that is, to find a truly good investment opportunity a low-profile auction against just a couple of bidders, as the odds are more likely that the "winner" was in fact right. In addition, auctions that involve little risk and playing the odds that a bunch of small investments could yield one big return, is often a successful strategy by investers.
So it is amusing to me that in the world of the NFL, the press and fanbases typically praise the team that "won" the auction by making an investment that is much more often foolish than not. In the NFL, teams spend millions of dollars in research and analytics, so the idea of making a good investment in a high-profile, all-in auction is extremely low.
A lot of good owners realize this; however, I would expect that many dumb owners who inherited money from their daddies, such as Johnson and Irsay, don't get it. They desire praise and adulation and can't stand their failures, so even the emotional satisfaction of "winning" a free agency battle, almost makes them feel like they are successful and important.
That is why the Patriots win; they are rational. They don't give into the emotional demands to satisfy their fans and press to receive accolades in the moment. It's that simple.