Its debatable that this is a "back door". Depends on how tightly your tin foil cap is on

. Here is a tip: An easy way to find the specs on any Intel CPU is to do a google search on "ark" followed by your processor model. in your case that would be "ark i7-4771". This will get you a link directly to the spec sheet.
In the case of IME, look in the Advanced Technologies section on the line: Intel vPro technology. If it says "yes" then you have this feature. Interestingly if you had the i7-4770K then it would be "No" . The "K" CPU's don't have it...I'm assuming that's because they are aimed at consumers/DIY'ers rather than businesses where vPro is actually intended.
Interestingly i3's seem to be "NO" though I only checked the i3-7100 and 7300. Likewise with the Pentium G. Also "U" CPU's such as my Lenovo X1 with an i5-7200U. Not even all desktop non-K CPU's have it. I checked the i5-7400 and its a no. But the i5-7500 is a "yes".
Anyway, I'm now board with this so anyone who wants to see the specs on their particular CPU can look for themselves.