If my (flawed and shallow) understanding of the history of novels (specifically scifi and YA), comics, and films is any guide, in 20 years:
Video games will be taken more seriously as an art.
There will be room in the marketplace for lots of healthy subgenres appealing to people from all walks of life.
There will still be heaps of cheesy AAA shooters because people like that sort of thing, but there'll also be cross pollination between genres to the betterment of all.
There will specifically be a thriving Indie Game subculture, Indie Game Makers who are taken seriously in mainstream culture and can make a comfortable living etc.
People will remember Gamergate, if they do at all, as a bunch of regressive moustache twirling Luddites who were too hidebound to accept progress and True Art etc.
And the heroes of this new movement, and of the history as people remember it, will be white dudes. They'll make a movie starring John Scalzi as the Brave Male Feminist and Zoe Quinn and Anita Sarkesian as the thankful oppressed victims. Brianna Wu will have a cameo played by Dakota Fanning.
There'll be Best MOGAI Games Of 2034 Humble Bundle or whatever, but the Indie Game Artform will for the most part still be a bunch of stories about grizzled white dudes, just...artistically written ones. Maybe some tragic lesbians every now and then, and the Great Classics as taught will include a careful tokenistic sprinkling of games about and by POC, disabled people etc.
Genres outside the Indie Game Artform will be looked down on as Not Real Art, and this condescension will as it happens fall most severely on any genres which just happen to be more popular with women (AAA action games will alosbe dismissed, and middle aged gamergaters will mutter about how they warned everyone this was going to happen and how AAA action games these days lack the masculine energy of the old days. Female fans of AAA action games will mutter someting quite different). Dating sims, for example, will continue to be as looked down on as romance novels.
Independent games which care more about representing neglected POVs and being entertaining than hitting the current Art buttons will be vaguely respected but not paid much attention.
And we'll all keep making and playing the games we like regardless.
(I do actually consider this to be a mostly much better situation than what we have now. But I had a Vision Of The Future and felt like sharing it. Also, yeah, massive generalisations etc, I hope my basic point comes across)