A bit late to the party but I knew I've read this earlier on Hacker News but I couldn't find it earlier. This paper (with slightly different styling) is linked at the bottom of the article 'Play deprivation is a major cause of the teen mental health crisis' [0] discussed here [1] a few months ago.

[0] https://jonathanhaidt.substack.com/p/the-play-deficit [1] https://news.ycombinator.com/item?id=36910256