When Steve Jobs was running Apple, he was known to call journalists to either pat them on the back for a recent article or, more often than not, explain how they got it wrong. I was on the receiving end of a few of those calls. But nothing shocked me more than something Mr. Jobs said to me in late 2010 after he had finished chewing me out for something I had written about an iPad shortcoming.

“So, your kids must love the iPad?” I asked Mr. Jobs, trying to change the subject. The company’s first tablet was just hitting the shelves. “They haven’t used it,” he told me. “We limit how much technology our kids use at home.”

I’m sure I responded with a gasp and dumbfounded silence. I had imagined the Jobs’s household was like a nerd’s paradise: that the walls were giant touch screens, the dining table was made from tiles of iPads and that iPods were handed out to guests like chocolates on a pillow.

Nope, Mr. Jobs told me, not even close.

Since then, I’ve met a number of technology chief executives and venture capitalists who say similar things: they strictly limit their children’s screen time, often banning all gadgets on school nights, and allocating ascetic time limits on weekends.