It's easy to see why AD generally outclasses these stats when pushing. Typically Area Damage competes with stats like Attack Speed or Average Damage (on Rings), both of which give you an increase of around 5-7% DPS per roll. Here you can also see the value of Area Damage on your items: even at an extremely high AD value of 150% already present (almost every single slot you can have it, the absolute maximum is 198%), an AD-roll is very valuable with a 11.7% overall DPS increase (given you constantly attack 25 stacked targets at a time, which is unrealistic in solo gameplay but can be achieved temporarily with grouping abilities such as Piranhas Piranhado, Ground Stomp Wrenching Smash or Black Hole). This just becomes more as the values of AD increase, up to ~83% at 100% AD and ~88% of total damage at 150% AD.
As you can see, even for a character using no Area Damage at all from their items (only 50% in Paragons), the overall damage done by it is still much higher than the base damage of the hit (over 70% of total damage done).
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