I would think, if you are using separate boards (board and batten, tongue in groove) to cover the door frame (meaning NOT sheet goods like ply, osb, t111) that with the angled braces running parallel, up from the hinge side, gravity would tend to want to spread the boards.
(With proper fastening, this is probably unlikely.. but time and gravity always win over anything man-made)
If I had to run the braces parallel, I would go the other way, and use the compression resistance of the wood.
I think the braces at 90 degrees, would prevent that... and.. in the above 2, you have 4 triangles, below is 5.
Maybe that is a benefit? (I truly don't know..just guessing)
Using sheet goods changes the game entirely...