Err, not necessarily ... I posted a link in this thread to a battery test for the purple Efest 350, and at 5A AW out performs the purple Efest from 3.8-3.479v. Have you read the test results yourself?
My point is, if Efest being a 10.5A rated battery couldn't out perform AW at 5A, I doubt that it can pull 6.66A in impressive fashion. Efest is known for exaggerated amp ratings. Sunvaper's conducted an in house test on the purple Efest 30A vs Sony VTC4 or 5, and the tester said that the Efest nearly went into thermal runaway when pushed to 20A, which is 10A below the manufacturer's rating.
I feel comfortable using the purple Efest 350's for how I vape (3-3.5A), even as AW is better, and what I prefer, AW does not make flat tops. I definitely would not want to use a purple Efest 350 for applications requiring more than 5A. And not so much out of fear of a thermal runaway, but simply as a matter of performance. I mean, it can't out best an AW at half of its max amp rating