They are 2 different things - they can be totally independent.
But you know what, they could be connected. Think about it. Why in the world would a goalie throw his stick in the middle of a shootout? Have you ever seen such a thing?
I will throw out a little theory. Ovi, at the last moment, moving the puck laterally towards the sideboards, was a factor in what the goalie did. G went for a desperation last minute poke check. Only, with the puck moving almost directly towards the sideboards than the goal line, he had no chance of succeeding.
Ovi teased him and didn't shoot. In doing so, the goalie was committed and basically gave up, and tossed the twig.
I don't think many people know the rule so this seemed like a good time to talk about it. Turns out, even I was wrong. I thought the skater had to always move towards the goal line, when it's actually the puck.