with our four children along (ages 10-20), we will probably be doing more ship exploring than sitting.
I'd be surprised if you even SEE the kids while you're on the ship. Not only is there so much to do for all ages, but they may not want to be caught sitting around with the parents!
When our kids were 15, 11 and 9, we each had a room key, and on days at sea, my husband and I often wished we could see the kids a little more often. Our daughter did breeze by once with her new best friend, asking if we had a Band-Aid -- for the scavenger hunt they were on!