The difference being that even the average consumer really needs a telephone, even if it's just a landline. The average consumer currently doesn't need Continuum. That's not to say it won't ever happen, but IMO, it's going to take a really long time.
You're basically saying what I said, except you're saying it will take a really long time, and I say it will happen within a few short years.

Well, basically. Sort of.
I won't state absolutely positively that it will happen next week. People who demand the future will unfold a certain way (which you did not do, just saying for example) usually turn out looking foolish over it. That's why I don't to make hard predictions. When it comes to football games, I even say, "Well, I think such-and-such is a better team. We'll see how it plays out." Those that trash talk and say the other team doesn't stand a chance look pretty foolish when their team loses. Microsoft and Continuum is my team. I'm going to root for them, and I believe in them. I think they are the more capable players, and if the ball bounces right (yeah, sometimes sheer luck comes into play) then with luck they'll win one finally.
Without the ability to use x86 program nor split-screen/windowlize task I failed to see how much improve in productivity Continuum can be over airplay/miracase or a separate android/WP8 stick.
Miracast/airplay allows you to see the exact same layout that you see on your phone. There is no increase in productivity other than being able to use a keyboard. With Continuum, the universal app expands. Look at the following screenshots to see what I'm talking about with increased productivity.
Excel Mobile on the phone:
Excel Mobile via Continuum to larger screen:
See the difference? With Continuum, you can be productive like a boss. If you were to use Airplay or Miracast, you'd be getting the exact same difficult to use layout as the phone, just a bigger size. That doesn't do a lot of good. Continuum makes it easier to be productive.
You can work everything through cloud and the UX won't be much difference. The TV stick is half the price of the dock and you're free from choosing any phone you want.
There are differences in the UX. The TV stick still doesn't allow you to go to ONE device, which is the point of Continuum, to not have to carry multiple devices. The TV stick still has to have keyboard and mouse purchased, etc. Plus, you'll still need to purchase a phone. If you were going to buy a Galaxy Edge, S6, or iPhone anyway, then the phone with Continuum is much cheaper than all the above, and you can be more productive with it.
Even use wireless Continuum still you need a device(TV stick) to receive signal from the phone so it's the same investment compare to current solution and basically provide nothing new there.
The PC-like experience is just 100% PR crap.
See the above screenshots I provided for HeyCori. Nothing new? Pshaw. PR crap? Yeah, right. It is a more PC like experience no matter what you want to call it. Screenshots above prove that. It's a PC-like experience in how you use the apps.
Many TVs today have the Miracast capability built-in and don't require the separate device. However, that device for non-supported TVs is a good investment, as it still allows a person to have only one computing device. A person needs more than the TV for the TV compute stick. You still have to purchase a USB Hub, external storage (in most cases, since they are very small on storage), mouse or trackpad, keyboard, etc.
Compute sticks have their place. So do laptops. So do many alternatives. However, just because some people may prefer that method doesn't mean that continuum isn't going to be proven valuable and widely adopted. Whether or not it is accepted or rejected by the market as a whole will have to be told by what is still the future.
When a person says, "iPhone is best" or "Android is best" or even "The 950XL with Continuum is best", that's great. It's an opinion. If a person says, "There's no merit to such-and-such technology," then I believe that is a fallacy. Most technology introduced into the market, especially by a tech giant, has some merit. Even Google Glass. Google Glass has largely failed because it failed to gain the acceptance. Did it deserve the chance to succeed or fail and be put out there? Absolutely! If we don't put new technologies out there, we'll never advance.
It's like arguing that the Heisman Trophy (American College Football analogy) winner didn't deserve it because you thought someone else should have gotten it. I think it would be better to argue the merits of the player you thought should get the award than to trash talk the player that got it. That player wouldn't have gotten the award if they didn't deserve the consideration as well. Many players can be talented at the same time. Just because you like a certain player doesn't mean no other players are worthy of consideration.