For games that have only 4 cardinal inputs the D-Pad is obviously better.
However when combined inputs are also a thing (diagonal directions for example), I've always felt most d-pads are uncomfortable for the thumb to switch quickly between simple button presses and 2-button presses, which is strange because that's not usually a problem with the "action" buttons on the right. I guess it's just how they're designed.
So for those cases, like pogoing while moving in a direction, I find the simplicity of input the stick gives you better, even if you exchange some precision for it.
Arguably, the keyboard is the superior option because you get access to easy/comfortable combined inputs while keeping all of the precision.