Yeah, I kind of think of D&D as a board game too. Not in the board/miniatures sense, but in a RULES sense.
Everything is so cut and dried and "metagamey". Stuff like levels and classes and experience points are such obvious GAME mechanics. They aren't realistic, they are deliberate meta-game mechanics designed to enhance *game* play, at the player level, but providing artificial structure and goals that are totally unrelated to any notion of plot or simulation. Other things, like hit points, are clearly abstractions designed to speed game play and provide meta-game tactical opportunities. Or how about alignment, which is really just an artificial method of labeling "us" and "them." In so many ways, D&D is *designed* to encourage and enhance out-of-character play.
This is not a slam, it is IMO a stroke of genius and directly responsible for D&D's success and enduring popularity.