The companies that produce these games have increasingly co-mingled their staff with video game studios

Like who?

I mean, in the case of D&D, maybe. But PF2e was written by Logan Bonner, Jason Bulmahn, Stephen Radney-MacFarland, and Mark Seifter; they have a combined zero years of video game studio experience between them. In fact, most of them have been making tabletop RPGs for literally their entire professional careers, including stints at Wizards of the Coast.

For fun, I went to the Pathfinder wiki, which has brief profiles of all of the authors and contributors to Pathfinder; and I can't find a single person on any of the game's recent sourcebooks that has worked for a video game company before working for Paizo. In fact, most of them have worked for Paizo in some capacity for 5+ years, or are freelancers who have worked for big tabletop RPG publishers for ages.