I hesitate to comment about this being productive while having kids thing, but some people seem to be implying that I must never spend time with my kids. It's far from the truth. A week ago my son (age 5) and I went camping in the backyard. Coincidentally, he and I have just recently started playing the real Minecraft together on our own private server - every evening lately. (I had never actually really gotten into the real Minecraft before, believe it or not.) We've been playing lots of Thinkfun games like Rush Hour and Shape by Shape. I actually still lay with my son while he falls asleep every night. My daughter (age 7) and I walked to the playground and played for a while there yesterday. We go out and check my vegetable garden daily, and my daughter likes to play "baseball" (plastic bat and ball) in the backyard with me. I work from home currently which is nice because there's no commute and I can see my kids a lot. We have "dance parties" in my home office where there's lots of open floor space. I could go on of course.
I fully understand the sentiment that time is short when it comes to spending time with your kids before they are grown.
There are plenty of folks without kids who aren't super productive too - so the whole thing seems a false dichotomy to me.
Frankly I don't even feel like I work that hard. Maybe "hard" is the wrong word. A lot of people are constantly busy and have no free time. Yet they don't seem so productive? I'm the opposite of that, somehow.
I know I'm under no obligation to defend myself - but there you go.