When I worked there we had continuous deployment with pipelines straight into Lambda in native AWS. There’s so many different teams at Amazon I wouldn’t take anyone’s advice that claim they can speak for all of development there.
Agility is not about deployment speed. It's about being able to react quickly and easily to new information (customer complaints, bugs, new opportunities, etc). You don't need a perspective from the inside to make the claim that AWS's evolution rate of existing products is weak. Innovation speed might be high horizontally (launching a ton of new services), but not vertically (improving existing ones).