I think that there are valid concerns to the high potential for passive time-sinking in these modern games which exist with an entire ecosystem of a competitive scene, streaming personalities, skins, friends, and more. There are healthy ways to engage with each of the elements of these ecosystems, but it is something that should be discussed and monitored.
There are "action" games (high twitch) that have very high strategic content. The kicker is that sometimes twitch can serve as a ceiling for strategy. That is, below a certain twitch level, some strategies are not viable or available. Games with very low twitch minimize this, like turn-based RPGs and strategy games. But even StarCraft requires high twitch (aka unit micro) to execute some strategies!
My parents didn't really care what media I consumed but cared more about how I consumed it. Plenty of games have the potential to explore and foster interesting experiences. I've learned a lot through games. In fact I'd say that two of the most important things I've learned I've learned through games: the importance of a strong work ethic, and discovering my passing for computer technology (which later led to a career in software development). Games can be mindless and intellectually numb. But the same could be said of any other piece of media.
Granted I am of the opinion that battle Royale games provide less than strategy games, and most RPGs but I am not nearly experienced enough in the BR genre to have much conviction in this opinion.