The only way I could see this not being a complete shit-show is if they integrate them into the game in a way that makes sense, which has been done in places before. Banners along the roadside in a racing game (which exists in real life), a sci-fi hologram advertising "new-new-new coke, now with added element-320" as you walk by, etc
But since it's EA we're more likely to get an ad for hemmoroid cream during a loading screen, and the loading screen will be extended to ensure it plays the whole ad
Rainbow Six Vegas did it really well nearly 20 years ago. Lots of the ads and posters scattered around Vegas had real ads they'd change out. It really was more immersive.