Don't you control the notifications on your phone? I use the ESPN/Scorecenter app and it even allows you to turn off the final score notifications for your favorite teams. When I DVR a game, I simply avoid social media and "mainstream" news so I see no spoilers.
Google Now or whatever comes preloaded on Nexus phones will figure out things you like and start sending you notifications. They're really hard to kill completely and very determined to tell you sports scores if you ever do a Google search for a team name.
