It doesn't make much sense for D&D itself to have a "consistent experience" though.
Because D&D isn't one world. It isn't one experience. Variation should be expected.
D&D is not a world. It is more of a network. It contains within itself many worlds. It doesn't make any more sense to make D&D itself a consistent experience across media than it does to make Turner Broadcasting a consistent experience across media.
Yes and no.
You are talking about two very different things in essence. The first is a consistent "feel" across the spectrum of media, and the second is a consistent feel of the game in play. The former is desirable, the latter no-so-much.
The first thing is an expectation of design, aesthetics, and trade dress. Or, to put it another way, a D&D goblin should have a certain look, attitude, and style and that should be consistent no matter the game, media, or branding. A D&D goblin is different than a Paizo goblin; a D&D orc is different than a Warcraft orc or a Warhammer Orc or a Tolkien Orc. This is something WotC has done since 2000 successfully imho. While 2e AD&D had a multitude of artists creating unique visions for each world (be it Elmore's Dragonlance, Detrilizzi's Planescape, or Brom's Dark Sun) they lacked a unified whole. In a world of multimedia, having a definitive "look" is preferable, and not entirely shocking since I own posters, CDs, DVDs, mini's etc from the 3e era and they all have a unified "look".
The latter is the idea that D&D should have one feel. We went down that road once in late 3e and early 4e. One World, One Game. Rules as written, mildly flexible, but providing a unified experience no matter who was DM and in what setting (home, encounters, RPGA) played in. This was a terrible idea and deserved to be banished. D&D is not WoW, or even Monopoly where you can assume a certain "experience" every time you play. The game should be flexible enough to encompass most deviations of play style; intrigue, dungeon crashing, immersive storytelling, steam punk, gothic horror, sword and sorcery, high fantasy, etc.
I can see the author's point. You want a picture, an action figure, or a movie to scream "this is D&D". But you don't want a game to perscribe only high-fantasy dungeon-crawling and say "this is D&D."