A good goalie fixes all of those.
I'm a goalie. Your statement is true for the Hasek's and Price's of the world. For the rest of the mere mortals from the NHL level down to beer league, none of that is true. System and a good defense limits high percentage shots, second shots, lateral passing, net front activity, etc. All of that makes the goalies job easy and very technical. Corey Crawford is the best example, at the highest level of play, of a goalie who plays on a team which limits his high danger shots to a manageable number.
The PK is the most striking example of how team play effects the goaltender.
The myth is that goalies can turn the outcome of every game by being great. Those goalies exist. But you can count them on your hands over the past 30 years. And for fans, I get it. You see highlight reals, big saves, etc. and think that the goalie is pulling the team. In some cases it's true. Mostly, it's not. Mostly, the team is limiting chances so the goalie can make saves.
