I disagree. If you're outshooting (let alone out-attempting) a team 2:1 , then generally you're in control of the game. Later on in lop-sided games, score effects can cause the losing team to push and the winning team to sit back, which skews the shots and attempts due to desperation. But this was in the first period.
If you want to argue the merits of shot quality and a counter-punching strategy, that's fine but by the very definition of counter-punch, the other team maintains consistent control while you look for the few openings afforded and try to make the most of them.