It is not carrying any load. To wrap the post I would just rip miters along the lengths of four equal width boards, use tape and glue and fold. Less than half the work, better looking and just as functional.
He became a victim of the tools that he loves. He loves the Domino and he loves the miniature block plane, so he is going to use both if he can.
The right way to approach this project (or any project) is to analyze the strength required, study the ways to achieve the required strength, and pick the one that looks best for the amount of work required.
Fold and glue is going to be the easiest and best looking. Small glue blocks, not really needed, can be added to make the craftsman feel better.
The 3/4" to 3/4" miter will have slightly more than a half inches (0.503") of face grain to face grain glue surface width, and the same amount of end grain to end grain glue surface width. A decently strong joint for a decorative wrap.
It is better to be in love with results and not so much in love with the tools.
The clamps did look useful, but not for this project.