Confused? Of course. So was I, when I checked out Hulu’s new “Desktop” app, launched today as part of the video service’s new “Labs” collection of experimental offerings.

Basically, it’s downloadable software that makes it easier than ever to watch Hulu’s shows and clips in the same way that you’d watch TV–on your sofa, remote in hand. But Hulu wants to make sure you don’t actually think it replaces TV.

Note how the company describes it: “A lean-back viewing experience for your personal computer” that will work on Macs and PCs with “standard Windows Media Center or Apple remote controls”–but not with Microsoft’s (MSFT) Windows Media Center machines or Apple’s (AAPL) AppleTV boxes. And it also isn’t designed to work with any other Web-to-TV software or boxes, like Vudu.

To spell this out: I’m writing this post from the “cave” that the All Things Digital team has set up for the D7 conference, and it’s full of gorgeous 22-inch and 30-inch Mac displays that are much nicer than anything that sits in my cramped Brooklyn apartment. Hulu is saying that they’d be A-OK with me watching Tina Fey and crew, via their service, on those monitors. But they don’t want me trying to get that show on an actual television.

Isn’t a screen a screen? Nope. Not to Hulu’s owners: GE’s (GE) NBC, News Corp.’s (NWS) Fox, and soon, Disney’s ABC (ABC). To them, it’s important to make the distinction between TV programming, which generates significant ad revenue and/or cable subscription fees, and online video, which generates very little at all. That’s why NBC CEO Jeff Zucker reiterated his opposition to Boxee, the software that makes it easy to move Web video like Hulu to TV sets.

Now all he has to do is convince tech-savvy entertainment consumers to play along. Good luck!

UPDATE: Several readers have suggested to me that Hulu and its owners aren’t as dumb as they seem, and that they do indeed intend to use Desktop eventually, as a Boxee-like product of their own–that is, they will use it to let people watch Hulu on TV. If so, that means that Jeff Zucker wasn’t being honest when he declared that “right now we’re committed to Hulu being an online experience, and that’s where our vision is today, and I think that will continue.”

But for what it’s worth, whenever I’ve talked to anyone at ABC, Fox, NBC or Hulu, all of them have been consistently mindful about not trying to disrupt the existing value chain that supports the cable and broadcast TV business–“the ecosystem” is the euphemism they prefer. So I don’t find Zucker’s comments so far-fetched.

Anyone want to weigh in? If you use your real name you can sound off in the comments below. Or you can drop me a line at  peter@allthingsd.com.

No need to go on about my lack of interest in this forced marriage, which the consumer electronics business has been trying to make work for more than a decade (see the 1993 Time cover to the right). Slate’s Farhad Manjoo has done it for me. If you’re pressed for time, the title will do: “I don’t want my Web TV.”

Here’s what I do want: The ability to use my TV to watch all the great video the Web makes available–actual TV shows and movies like “The Office” on Hulu, “Lost” on ABC.com, “No Country For Old Men” on Netflix’s (NFLX) on-demand service. Which is where Boxee comes in.

The New York-based start-up makes elegant software that cobbles together offerings from all of those services, plus many more–with whatever media you have stored on your hard drive–and serves it up to you on your big screen, with a minimum of fuss. Right now it’s a niche product–it only works on PCs running Linux, or Apple’s (AAPL) Mac mini and AppleTV boxes–but that should change soon.

It’s slick stuff, and when you get a chance to watch it in action, it’s the first time that all those anecdotal stories about people dropping their cable TV subscriptions and just watching Internet video finally make sense: Why pay for cable stations you don’t want when you can watch just about everything you do want, on demand, for free?

This is also why I’m not sure how long the big cable companies will allow Boxee to operate unfettered. As the recent dispute between Time Warner Cable (TWC) and Viacom (VIA) illustrates, the cable operators are increasingly dismayed about paying the cable networks big fees for their content, only to find them giving it away online. And with Boxee providing customers with a real opportunity to drop cable TV in favor of a broadband connection, I worry that it’s a matter of time before they find some way to throttle the company.

Technically, the cable guys (and the telcos, who are also in the TV business) aren’t supposed to be able to do anything about Boxee. They’re just supposed to act as a dumb pipe serving up high-speed Internet access and keep their mouths shut. In the real world, I don’t think that’s going to fly. See: The many bandwidth caps the cable guys are starting to experiment with, which are aimed at heavy Web video users.

Boxee founder Avner Ronen disagrees, of course. He thinks the cable guys will want to work with his company (he plans to make money by licensing his software to gadget makers and extracting fees from content providers like Netflix, but that’s all down the line). And maybe he’s right: When I dropped by his CES booth on Friday, he was being swarmed by emissaries from CableLabs, the cable guys’ tech consortium. They were the third group of cable execs to visit the company that day.

I’ll let Ronen make his case in the video below; and I’ve also included a brief demo video from the company. But that clip doesn’t really do Boxee justice. Ask one of the 100,000 super-early adopters who are using the software themselves. Or any of the nervous cable guys who saw it last week.