You'd want a very fat, short guy, right? Well even if he manages to be as wide as 80% of that net that leaves a massive 20% of unattended space. So now this extremely obese, extremely squat goalie needs to move faster than a puck to protect that 20%? Not gonna happen.
And that's just hoping he can survive until the 1st intermission before you have to drag him off the ice as he's, you know, extremely obese.
I don't know if you've seen the bruises that pro hockey goalies get even when they take a puck through the pads, but I really wouldn't want someone with unprotected flesh to have to make a decision about allowing a goal or getting hit.
Garbage TV link, but they address your question. One thing they get very right is that, in non-game, non-rushed environments, even the worst NHL hockey player can pick any corner of the net.