Those are good stats, and look discouraging, but the Pats are usually the exception to the rule in these situations. For example, this great stat is from a thread from 2015:
"The Patriots are 15-7 (.682) when Brady passes the ball 50 or more times, including the postseason. Every other team in modern NFL history (since 1960) has combined to go 100-386-6 (.209) in this situation. The Brady Patriots have singularly won 13 percent of all the 50-attempt victories during the past 55 years of professional football. Lamonica, by the way, never attempted 50 passes in a game.
Victory in these bombing campaigns is difficult for two reasons: First, it’s usually a sign of desperation. Most NFL teams tend to pass the ball that often only when they’re down big. Second, desperate quarterbacks tend to throw interceptions, sometimes multiple. And teams simply don’t win when they throw interceptions.
Brady and the Patriots, however, are utterly unique in their ability to win these games: Brady is the career leader in 50-attempt games (22), 50-attempt wins (15) and 50-attempt winning percentage (.682).
Nobody else is close.
Peyton Manning is second with 17 50-attempt games, and he’s just 4-13 (.235) in those contests."
Aaron Rogers has never had to do this, not even once.