My intent with the question is to guide new woodworkers through the process of consciously choosing a particular cut of wood for a project, then going to a hardwood dealer or store to buy it.
The blanket recommendation for buying lumber is always to use quarter sawn boards because it's more stable, but there are reasons to use plain sawn and rift sawn boards, besides the differences in cost.
The objection that prompted this meta discussion was,
I think that the "when would you choose to use each one" makes this
question both way too broad and opinion based.
...however, I intended you to mean any woodworker, not you as an individual reader. An individual woodworker may have an opinion on what looks nice, but I think it's entirely possible to write an answer that concisely lists a few examples and acknowledges a small variety of possible general preferences without being primarily opinion-based.