Yeah, I'm the same way. If I'm not watching due to work, hanging out with friends or partying/whatever, I'm usually checking the score on my phone. I can't watch games while already knowing the result. Ill watching highlights later, but not whole game.
I'd say I probably watch 100 or so per year. I've gotten lucky this year and on days I work, we've either had off days (a lot of Monday off days, and a Friday!) or been on West Coast so I get off by time game starts.
I've only missed two this year, both David Price starts (when he got rocked vs Yankees, and 7 scoreless vs Tampa).