The Owls lost 5-0 at Brentford, the Tigers 5-1 at Stoke City.
Hull sit directly above the Championship relegation zone, having collected just two points since winning at Hillsborough on New Year’s Day.
Wednesday, who have won twice in 14 post-Christmas matches, have a nine-point cushion which could easily be taken away if found guilty of a misconduct charge.
“They are not even playing for themselves,” said manager Monk after his side conceded four first-half goals. “We had players hiding on a football pitch.”
Midfielder Barry Bannan added: “We let the club down, the fans down and the badge down.”
Hull coach McCann said: “It’s very difficult to defend them because we didn’t show up. That’s everyone, not just the players.
“Stoke could have easily won by more.”