Speaking personally, I just don't usually open Twitter or news sites while I'm at the office.
It's not that I don't care. (I do.) I just read everything at a digest at the end of the day. Most news doesn't require a real-time response. Trying to stay on top of everything happening, as it happens 24x7, just leads to emotional exhaustion.
If it's not something I have direct control over, I don't need a real-time feed of it. The news will still be there to read in the evening when I get home.
It's not that I don't care. (I do.) I just read everything at a digest at the end of the day. Most news doesn't require a real-time response. Trying to stay on top of everything happening, as it happens 24x7, just leads to emotional exhaustion.
If it's not something I have direct control over, I don't need a real-time feed of it. The news will still be there to read in the evening when I get home.