I'm in a very similar boat as Gryphon. I pretty much hate any PvP with a burning passion, FPS' are pretty low on the desired end as well for the dual hit of twitch-reaction requirements and (generally) a distinct lack of any coherent story.However, the cinematic trailer, the animated shorts and the graphics make for a beautiful game that I would be thrilled to know more about. Just as several of the youtube reaction videos say, an Overwatch movie and/or serial show would be amazing.
But the final 'nail' in the coffin is that the game proper has no story mode/campaign at all. So unless there's a drastic change, the closest I'm going to get on this one are the marketing 'buy me' temptations released.
When in Danger, or in Doubt.
Run in circles, scream and shout.