While parents may or may not be the “most” influential people in a child’s life, I think it is certainly possible that the influence of parents/family/tribe can decrease in relation to the influence of the broader world due to changes outside of the parents’ control.

I certainly think the internet gave me access to many more humans, ideas, and tribes than my parents' generation had access to, and it would be hard for me to see how it would have been possible for my parents to have as much influence on me as their parents had on them.

I would even say it is indisputable there are forces beyond parents’ control unless the parents opt to live an Amish lifestyle, such as using devices connected to the internet and various social networks. If you do not give it to your kid, someone at school will, and even more, you probably need to teach your kid how to play the game rather than have them start it blind while the other players have experience.