But, if a DM disallows my addition, I will instead play as a "Two Weapon Fighting Style"/"Dual Wielder" Feat, high DEX Fighter/Champion, wielding two Finesse weapons (typically two Shortswords), and be happy.
With 20 DEX (which you get pretty quickly in #DnD5E), you get +5 to AC, +5 to Hit, and +5 to Damage, and that's before magical or exceptional weapon bonuses.