I read an article a couple of months ago which stated that magazine subscriptions are up, and so is printed catalog distribution and sales from those catalogs.
Anecdotally, subscribing to Apple News only whetted my wife's appetite for the printed versions of the magazines she sees on her iPhone. She's since subscribed to the print versions of three of them.
We were at the rodeo one day and one of the magazines had a booth. I mentioned to the people from the magazine that my wife subscribed to their publication because of Apple News, and they said they hear that a lot.
Of course, I've also read that some publishers are not happy with the revenue cut they get from Apple News, so perhaps its not right for every publisher.