I don't really disagree with you, but the reality is every team in every sports league heavily uses analytics to build their roster. So don't think that any new regime would be any different, in fact it could be worse.
My issue with analytics is that it should be used as a tiebreaker when determining the value of a player and not the deciding factor. I've been watching the Kings for 30 years and I don't know if I remember a more useless player than Nick Shore, he couldn't score, he wasn't physical, he wasn't a defensive stopper, he just kind of took up space for 10-12 minutes a game. But his analytics said he should be a better player so he got over 200 mostly awful games with the Kings and a few other teams before the league finally realized he wasn't an NHL player. If you go strictly off of analytics you end up with Nick Shore's in your lineup.