While it would never fit Dana White's personality to give away content for free - and while I'm sure he would have colorfully profane and subtly homophobic things to say about any loser who watches fights on a laptop - apparently someone at the UFC has what I think is a much better idea: to post fight footage, often complete fights, to YouTube in order to deepen interest in upcoming fights and the brand in general.
They're not making a big deal about it, though. And they're hiding it on channels other than the main UFC standard, often giving the videos vague titles.
Exhibit A: The FuelTV channel. This has been host to fight vids under the UFC Unleashed banner, with newly recorded audio from Goldie. The videos are kept short, meaning that only the short fights are turned into full-fight videos. The rest are whittled down to knockouts and big moments.
Examples: Here is Mir/Nog II in its entirety. This is a recent fight with two stars and a highlight-reel finish, and they're giving it away. Awesome. The title, though, is "Tap or Snap: UFC Unleashed." Not exactly the kind of thing you'll find while searching for "Mir/Nog II." Another example is the Jones/Machida vid that BE posted recently - here, you don't get a full fight, but you get enough that you really can't complain.
Exhibit B: Fighter-specific channels. This is the one that will surprise you. There is a Rashad Evans channel with full-fight videos of his Chuck and Salmon fights. There is a Jon Jones channel with full-fight videos of his Vera and Shogun fights. And these titles aren't coy at all: "Free Fight: Jon Jones versus Shogun Rua." (18 minutes) "Free Fight: Rashad Evans versus Chuck Liddel." (12 minutes) No editing, no nothing. It's amazing. And yet, these were posted with no fanfare and have very few views.