clearstream
(He, Him)
I prefer closed and open-ended also, but the matter is muddied by the possibility of an explicit metagame. D&D combats are typically closed, but they contribute toward a metagame (the campaign) that might be envisioned to be open-ended. It might be possible to relate that to the important difference in results between cases of one-off and repeated play, in game theory: players could be predicted to behave differently in a one-shot, than a campaign.Winnable vs Unwinnable is not a good separation of terms either, since both imply that there are win conditions. I would probably use the terms "Closed" and "Open-ended". Closed would be games with explicitly defined end conditions (often synonymous with win conditions), while open-ended games have no predefined end conditions.
I prefer to think in terms of end-conditions, also. A game can have end-conditions that are not win conditions. It might be right to say that metagames do have win conditions, but don't have end conditions. For example, whoever has the highest Elo is currently winning the Chess metagame, but that does not end the metagame.Closed and open-ended are labels applying to the rules system used by the game, but do not mandate particularly implementations. You can have a closed game that never ends, or an open-ended game that you add a win condition to. "Winning" D&D by beating the BBEG does not change the game rules, nor make it 'not' open-ended.
Likewise, the end conditions of a game are separate from player goals. You might assume that any given player may want to achieve the end/win condition for the game, but there is no requirement for that to be the case.