Not sure how well this will work compared to their strike against Hollywood and the film industry. Many video game developers don't work with union actors at all, with plenty of games either not having voice acting period or hiring whatever random staff they have around to fill those roles.

For instance, many of Nintendo's games have very little voice acting, or have it done by random internal staff rather than professional actors. So most of the Mario, Kirby, Donkey Kong, Pikmin, Metroid, Animal Crossing, etc series could probably keep on going without any issues. And those franchises that did use voice acting recently (mostly Zelda) could probably just go release a few games in the old style where voices were limited to the odd grunt or yell and it wouldn't make much of a difference. Heck, Pokemon doesn't really have voice acting in its games even now, and that's the biggest media franchise in the world.

Add that to how the industry worked fine up til about the N64/PlayStation era without any voice acting (or at best, very limited acting) and how a large percentage of lower budget and indie games don't have it at all, and it's a lot less important than acting is in the film or television industry. Hollywood actors go on strike and don't appear in films or TV shows? Those industry comes to a screeching halt, since the cast is an essential part of the medium. Actors don't appear in video games? Well, guess the number of silent protagonists goes up significantly this year.

I do wish them the best of luck here and I do understand their concerns, it's just that games need actors a lot less than films do, and that gives them far less leverage as a result.