From an architectural point of view: what’ s the point of the wood that is exposed? Is it to show that the building is of timber structure with stone or mud brick and plaster infill? If so then that’d be a “yes” on showing verticals, but they’d be best shown at the corners for sure and in the middle if the span of the beam is long. If it has stone walls that are load bearing there’d be no point in showing a band of wood at an intermediate point vertically anywhere on the wall.
"I saw this in a cartoon once, but I'm pretty sure I can do it..."