|Cyrad RPG Superstar Season 9 Top 16|
Why would it hurt build diversity? It basically creates a situation where you have to find a compromise between accuracy and damage.
The problem with that thinking is that accuracy is more important than damage. Part of the reason this is that most staple damage-enhancing abilities in the game already allow you to penalize your attack rolls in exchange for more damage. A character that prioritizes Strength over Dexterity is also a character that is less effective at using Power Attack, Deadly Aim, Rapid Shot, Two-Weapon Fighting, iterative attacks, etc. Also don't forget that Dexterity also has other very important uses, such as Acrobatics, dodge bonuses, Reflex saves, and initiative.
The OP's suggestion creates a game where Dexterity is always a combatant's primary ability score. That hurts build and character diversity.