Do I watch it intently? No. Do I know the score and what's going on? Generally. Do I feel I followed the season, YES. Though I have noticed that since I DVR (I watched the world series DURING spring training) a lot I don't keep up with the day to day discussions I actually know less about the team than my brother who watches few games but reads bleacher report constantly.
Why do I do it? Well for 8 years I worked in a heavily paired environment, then went to a job with private offices and felt under stimulated. Started watching baseball / twitch just so it felt like others were in the room. Also I have ADD so these things likely help keep me at neutral input levels.
I'm sure you have some garbage ass tv you just toss on as well. Home remodel shows, golf, blatheringly repetitive cable news. These things are mildly connected to your interest and are either there to be in the background or they're there to let you just zone out and decompress.
When working with amazon I often have to have this conversation with people... it usually goes like this:
55 year old business lead of some VP vertical: It's really wierd to me that people watch hours of other people play video games. It's got to be incredibly boring.
Me: I notice you have a "Masters" hat on. Do you watch that?
55: Yes.
Me: You realize that like 99% of people think golf puts them to sleep.
55: Touche, how much revenue can we make?
Me: XXXXYY
55: I'm interested.