I do that in my 2024 game, as well as having every creature roll independently (I am running using Fantasy grounds so it is no more overhead for me). I like chaos on the battlefield and this small change really increases that.
Look at the adventures published for 5E. THOSE are the stories they are trying to tell. D&D is not reaching for other fantasy anymore (if it ever did) -- it is its own genre and has been for decades.
Again, the key is to build in dials so that folks don't have to argue about how deadly or superheroic D&D is -- they just set the dials where they want them, and they are all still playing D&D and engaging in that shared experience and community.