I think you probably mean AEB instead of EAB, but the feature you describe is not AEB in a Tesla. It's Obstacle Aware Acceleration:
Learn about Collision Avoidance Assist and its specifications.
www.tesla.com
AEB does not handle the situation you describe (it's a different feature).
Also for the traffic light scenario:
"Automatic Emergency Braking does not apply the brakes, or stops applying the brakes, when:
- You turn the steering wheel sharply.
- You press and release the brake pedal while Automatic Emergency Braking is applying the brakes.
- You accelerate hard while Automatic Emergency Braking is applying the brakes."
It does not say it has to be a change in the operation, just that you have to "accelerate hard" which I presume is flooring it or close. Most people don't floor it when they take off on a traffic light.