Don Durito
Hero
Yes. Although I did say it was extensible to the whole adventuring day.I would call it Encounter as Challenge (where the concept of the encounter is extensible to the Adventure Day) vs Environment as Challenge. This is because I think the CaS/CaW discussion often focuses too much on combat. For example, traps. An EncC DM probably wouldn't want an instant death trap in their game (like a green devil portal with a sphere of annihilation in its mouth), whereas a EnvC DM probably wouldn't be opposed to its inclusion.
I do think you're on to something though. I agree that the concept of fairness is a crucial distinction for these playstyles.
But you're right about "Encounter as Challenge". Somewhere between reading the thread and posting the reply I'd realised that "Encounter as challenge" was a better term, but then forgot that when it came to actually writing.