Chapters like this is really confusing because it goes against the original plot of the story. Authors seem to always struggle with stories where video game characters become sentient. Why is Olivia given such a deep emotional background here when she is a video game character? Did her creator right this backstory? Do the players seem this in game? If not it doesn't make much sense.
I wish there was a manga where a video game character comes to life or a person goes into a video game that actually deals with the real implications of what that would mean. Like the MC trying to teach a character something beyond what their programming allows. Or the video game character having an existential crisis with coming to terms that their whole life is just a bunch of codes created by someone else. That would be far more interesting and more believable imo.
For example imagine if Machino's harem had to question if they like her or if they're programmed to like her, since they are just characters in a game. That their relationship with her isn't special and whoever plays the game would have the same relationship with them.
I would understand this if Machino was in the game proper, but the opening chapter has the characters literally jumping out of the game. If anything were to suggest that these characters are not bound by their game, it would be that.
Also, it's kind of a spoiler, but Not Your Typical Reincarnation Story has what you're looking for, but it's a novel, not a video game, and it's het.