Certainly in things like card games and chess, my dad and mum were happy to play, time permitting, and were sure to give no quarter. The family competitive spirit and disdain for bad losers was instilled at an early age. A child crying because they lost a game was treated not with sympathy but derision - and rightly so.
These kind of games allowed us children to enter into an equality with adults, and taught us the manners of social interaction, quite different to the games I would play by myself, with my toy soldiers and child's imagination. Without doubt, the flights of fancy of the young mind, the role-playing of numerous 2-inch-high gun-fighters, facing off across an anthill in my back garden was of no interest to any adult, nor should it be.
Contrary to the implication of the article, parents playing with their kids in this latter sense is a very recent phenomenon, inspired by the most dubious of trendy psychologistic wank.