I think this style of anchor would depend largely on facial structure. I have a very small inter-pupilary distance which makes buying binoculars difficult. Most of them don't close enough to get a clear, round picture.
If I keep my head perfectly square to the target, my sighting eye will be inside (the bow side) of the arrow. If I were to anchor with the string pressed into the flesh behind my eye as in the picture, I'd rip my eyebrow and half my cheek off.
I used to have a longer draw, anchoring on my jaw bone, but found the classic anchor with my middle finger at the corner of my mouth gives me a cleaner, more consistent release. I do have to tip my head just a hair to get my eye out over the arrow. Nothing really pronounced, just a slight tip and turn as I line up the shot and then letting my rotating elbow pull the string into my anchor point while keeping my head still.
I will never be a really good shot, but this seems to work the best for me and is reliable out to 25 - 30 yards, which is way beyond my hunting distance.