No, they are not. Dominant bullies are poles apart from aggressive dogs. They have no relation to one another at all.
A dominant bully is simply an alpha dog – they refuse to submit. They’re rebellious pets and can misbehave or reject orders. They throw temper-tantrums, are stubborn and very strong minded. These traits can lead to basic behavioral issues but not aggression.
Aggressive dogs, on the other hand, are not necessarily strong. Their anger is unpredictable. They are stressed, defensive and scared. They may have witnessed something that has made them fearful, anxious or insecure, which is why they display anger. Aggressive pets can attack, and perhaps already did but it went unnoticed.