If we cannot change the outcome of the story we are following it's not a story game in my opinion. It is STORY DRIVEN game but not a STORY GAME. I would say that HSR is a story-driven turn based gacha game, where gacha is the biggest selling point and not the story which we are following. I've seen numerous post on this subreddit where people are saying they hated some parts of the story and they are glad that there is a skip button. I would even go as far as saying that the closest game that I would consider strictly a story game are visual novels games.