There also a bit of Price making it look natural and easy that could have been going on, the way he moved and controlled rebounds during that peak, he was so much in control all tourney long that maybe he participated into that view of the best defensive performance of all time.
They always had the lead and always looked like they would win but that was because they never gave a bad goal... and we are talking 2-1, 1-0 type of wins, so it could not feel that way with shaky goaltending.
To give an example I had to check, but in my memory Crosby made it a 2-0 game that felt very hard to turn around much sooner than in reality, I thought it was in the first period, it was past the 30:00 minute mark. Early in the morning time-zone difference game that bound to create strange memory of it, but there something probably true about more in control than the score would indicate, which could be all created ad-hoc, bad bounce and puck goes in, same play, same players, etc... and I remember it all differently.
But a bit like 2016 world cup and Canada giving away only 8 goals in 6 games (Price 7 in 5, .957%), it is not just that Canada was particularly good defensively, but that the top competition felt subpar versus the 80s-90s, they did not face a team Canada or Soviets level offense.