If he means "stop reading it to me", yeah, I'm with him. Having someone consistently reading stuff to you that they see on the internet (not just HN) gets old, especially if it's stuff that you're not as interested in as they are.
If he means "stop reading it", though... one of my biggest regrets from those days is how often I was too busy doing stuff I wanted to do to be available for my kids. I regret how often I chose to do something else rather than give them love.
Make sure you love your kids more than you love HN. Make sure that they know that you love them more than you love HN. If that puts a crimp in your reading HN, so be it. Love them anyway.
It's become a bad dad joke. He'll ask me to look up some origami, and I'll go to HN. But seriously, he's gotten used to me sharing really interesting articles and conversations from HN. I think he'll start to enjoy it himself sometime in the next ~5 years.
When my son searches using siri/voice and I'm in the room/car I yell out PRINCESS at the end of all his searches.