Is this an Emperor Penguin or a King Penguin?

I have a book from Dorling Kindersley called Animal Encyclopedia (the German version that I have is called Das große Tierlexikon) with images from animals.

One is titled Emperor Penguin (Kaiserpinguin) which is in my opinion clearly recognizable as a King Penguin (Königspinguin).

This is the image:

I wrote to Dorling Kindersley and they told my that their investigation revealed that it really is an Emperor Penguin.

I am not a biologist nor a penguin expert, but from all the descriptions and images I could find (even in the same book on other pages!) I think the publishing company is wrong and just too lazy or arrogant to admit this error and too miserly to release a revised version of the book.

Who is wrong? Me or Dorling Kindersley? Emperor or King?

Update 2020

They seem to inherently admit it themselves, that the book was wrong (and that they lied to me), as they used the same picture on one of their websites and with king penguin in the caption of the picture: