There's a lot of managed services on AWS and it's growing rapidly. But they're delivered through partners, not AWS directly. I didn't write down the numbers from this segment of the Re:Invent Global Partner keynote yesterday but, as I recall, "next generation managed service providers" was highlighted as a big growth opportunity.
I think the point was that Amazon's customer service is awful, compared to smaller, much more nimble companies where you can get a technical person on the line and get much more personalized service from someone in the US.