To be fair, the whole dog thing in this comic is most likely based on Grinch's appearance in the live action film. In said film, Grinch's face kind of does resemble a dog, or at least the nose and mouth. https://imgix.bustle.com/uploads/image/2017/12/20/a86b734f-aeaa-4310-8f73-5b2de4574930-37737f70-2a9c-4e5a-83dc-8e60232287f0-the-grinch.png?w=970&h=546&fit=crop&crop=faces&auto=format%2Ccompress&cs=srgb&q=70