The Patriots won the Monday night game 31-7 in what Childress called "a surgical procedure."
"These were some of the all-time great signal-stealers," Childress said. "In fact, that's what was going on. They were holding, holding, holding. We were signaling from the sideline. They were good at it. It's like stealing signals from a catcher."
Brady paid his weekly visit to Boston sports-radio station WEEI on Tuesday and responded with a non-denial.
"We've been called a lot worse than that," Brady said in a transcript produced by ESPNBoston.com. "That game was so long ago. ... I remember us executing pretty well that night."
Brady noted while signal-stealing was common in the NFL at the time, that has been eliminated by defensive coordinators radioing their calls through helmet headsets.
"That's come and gone," Brady said. "That's been not a part of football here for a long time, and we've still won a lot of games. In '07, they changed the rule and so forth. I don't buy a whole lot into that. The team that's going to win this weekend is the team that plays better. I can promise you that."
Brady suggested Bill Belichick wouldn't speak publicly about Patriots players like that.
"I think every head coach has different styles to motivate their players.," Brady said. "Coach, he doesn't ever do that to anybody. It doesn't matter if I threw seven interceptions. He would never do that. But there's no doubt that he's going to bring that up to me at some point, probably right away, to say in front of the team, as well. He's going to make the point that he needs to make in order to try to get his players to play better.
"Coach Belichick does that. Tony Dungy did that. Everyone does that in different ways. We're all big boys. We can handle the criticism. If we don't do something well, we know that we didn't do something well.
"Often times, players are their harshest critics. When I don't play well, I know it. Sometimes it does hurt your ego a bit when somebody tells you you've got to do it better. But that's the truth. If that's what you need as a player, then in the end you'll be pretty happy that someone actually came out and said it because maybe that will motivate you a little bit more to get it improved."