I'm trying something similar with Japanese via Ghost of Tsushima (finally started playing it this month). I've lived in Japan 10+ years, only speak conversational Japanese....so far I don't think I've absorbed any linguistic improvements from using the game. I might just need more time with this style of immersion.
I was never stressed out in terms of English language (I'm from Poland) because I've rarely (never) switched game languages to any other language than English.
When I was ~10 years old I've played through whole Final Fantasy 8 which I was obsessed at the time thanks to my older brother with a PAPER dictionary on the desk (I was translating stuff that I didn't understand) and I think that was the most effective way and time when I've learned most of the English language in my life.
Now I'm trying to encourage slowly my kids and I switch game languages they play from time to time.
That's a neat story! I've read that there is a developmental change that happens in the brain around age 11 that has the effect of "switching off" a child's ability to simply absorb a new language. To the extent that this is true, it is so great that -- from your experience -- videos games could provide enough of an immersive experience for you to rapidly and enduringly acquire a new language. Hope your kids take to it as well!