I think the problem likely goes deeper - most of the parents are likely smartphone addicted already, so they see no issue with it. Or they may see the issue with their child's usage of a phone, but they justify their own constant need for using a phone with it being "for work" or what have you and the child is just following in their example as they constantly see them pulling out their phone.
I'm not a parent yet, and I don't have any answers..but as a 90's kid I can't imagine what it is like now growing up with access to all the world's information in your pocket.