As long as the browser that the game is running in has canvas support, my guess is that it will. The game engine is based on Ajax technology, system query language, and of course HTML5--things that are doable on most PC browsers. So even though TMJ is now being produced for the 3DS browser, the differences will mainly be interface and screen width. The 3DS browser will be an improvement, but not a huge leap from the DSi browser, so don't expect the bulk of the game's capabilities to function only on 3DS.
Give the task to Danny and Lim to answer every question in the most detailed way possible. :'D My guess, as Lim said, it will because of the similar JavaScript technology.