There are plenty of reasons to shoot subjects centered in the frame. Many of them have fur or feathers.
When you subject is going to fly or run away, you take your shot, however you can grab it.
Press the shutter the instant your subject’s in focus, sometimes before you are sure you’re in focus … and hope for the best.
Wildlife — in the wild as opposed to at a zoo or otherwise enclosed — doesn’t wait while you line up your shot. I know from painful experience — speed counts. Until I got over my need for perfection, I missed pretty much everything.
Seize the moment! He who hesitates gets a great picture of an empty branch.