That's a callback to many pages ago. I wouldn't call D&D a board game as it's not played on a pre-defined or special board that comes with the game. I feel like the board coming in the box with the game is basically required to classify a game as a board game. Or, failing that, there is a single standardized board used by ~everyone (e.g., the Chess board doesn't need to come with your chess set, but you'll always play chess on a chess board).
I'd lump D&D and board games in the larger category of tabletop games, but distinct from one another.
