Yes, I think there's a benefit here but it's more important as an inoculation against bullying. It's the verbal equivalent of playing rough and tumble games on the lawn with Dad. Humans don't fight with each other physically nearly so much as they fight verbally.
That said I'm sceptical one can learn much about parenting from other cultures. Being a father or a mother is hard enough without trying to emulate other lineages and contexts. What we're trying to do, I think, is to include the best bits from our own childhoods, those things which brought value and hope and joy, and to de-emphasize the bad bits, or the seeming bad bits. A lot of the knowledge is tacit, which is why it's important to honour our own parents, otherwise it simply doesn't get transmitted.
The author only looks at one hunter gatherer group. The rest are really just rural communities that have maintained a community and cultural wisdom that supports raising children. In either case the focus is on learning from these other cultures about parenting.