And here's the rub; WAR is a tank. In a party setting, they are there to take damage and not die. DPS plays no part in this.
WAR's method of not dying is to heal from damage dealt. To accomplish this they are given more damage, which makes them stronger than the PLD.
You say that to balance this, the WAR should be less capable of not dying, which means they are less capable in their primary function. Thus, WAR is a worse tank, but is supposed to make up for it by being a secondary DD? Such a design is inherently inefficient.