The purpose of pixel peeping, in my mind is not to help discard image, but to pick the best image.
Since I usually shoot in 6-23 image bursts, I have lot of images. Once I've gone through the first wave , and removed all the images with either composition of focus problems, I'll usually have 5-10 images that I like. At that point I'll pixel peep. If you have that many similar images why not pick the one that is sharpest pixel peeping to save? If you ever print it could make a difference. I have many images like this where the bird's angle to the camera is such that both the eye and the feather detail are sharp. The downside to that is many of my images looks similar. Different bird, same or similar pose.
Correct (by my definition) angle to the camera
To me it's matter of, if you have two similar images take the one that's sharper.
If you don't, have an image that has razor sharp detail, it can still be a good image.
I love this type of shot. Too far away to be high res, but great context.
But I want one or the other, pixel peeping sharpness or a nice clean composition. Images can appeal in different ways... not all depend on sharpness, but those that do better be sharp. No one wants to see that peanut feeder, but they might overlook it if the bird is razor sharp.
Especially on bird images, pixel peeping sharpness can distract from the usual situation, which is , no control of composition.
Those birds are really poor at following the photographers instructions with regards to where we want them to perch.