Given this point, how can any argument that isn't "allowing this causes serious problems in the game" matter? RAW and RAI don't really matter: if it's more fun to allow it, why would any DM disallow it?
To be more precise, it is less not fun.
I don't think anyone is chomping at the bit to target and fire, target and fire. This is not a fun feature. Instead, it's a matter of not annoying the player.