It's definitely nice to have the more noticeable/easily glanced notification if you have kids.
Late last year, for instance, my kid sat in the sick room at his school for an extra 45 minutes because I didn't feel the phone vibrating in my pocket when the school called to tell me he'd been throwing up. Not a crisis in that case, but still, I could have left earlier to get him if I hadn't missed the call, and if it had been more serious, the delay wouldn't have been good. (Of course, the other solution would be for Apple not to use such halfass vibration mechanisms in their phones. : )
My wife already approves of the watch because I've answered the phone every time she called me over the weekend, and I saw all her texts immediately.
And it's not necessarily going to mean you spend more time looking at a screen instead of interacting people, because it's also an effective call/text screening device. For the unimportant or non-urgent notifications, I glance down, and if I don't touch the watch it goes away in 30 seconds and I can respond to it later at my convenience. Before, I'd have to pull out my phone and make sure it wasn't something important.