Earlier quoted context omitted.
There's a lot of fear surrounding in-hardware crypto primitives. See for example: http://arstechnica.com/security/2013/12/we-cannot-trust-inte... I personally would be very leery of OpenSSL relying on RdRand or AES-NI.
I think that you have extrapolated the legitimate concern around hardware random number generators to AES-NI, where it is not a legitimate concern. With random numbers, the point is that there's no good way to tell exactly how random something is, and it's quite easy to generate deterministic stuff that looks random. Furthermore, by changing a couple of transistors, you can destroy the randomness of Intel's generator…
The risk is that it's possible to escrow the last N used AES-NI keys within the chip, and extract them using custom non-public microcode or physical access.