That's what they like to think, yes.
If you're talking about acolytes who watch large numbers of TED talks then yes, most of them very likely know the difference. Many have probably even attended TEDx events. But TED talks have spread to far more casual audiences-- people who share merely share the links on twitter and facebook and have probably watched less than 10 talks in their life.
> 2. There are no TEDx videos on ted.com, only on subdomain http://tedxtalks.ted.com.
When I visit that link, I see the large TED logo in the upper left corner (with no 'x' by it). While it doesn't have the flashy video cloud thing that the main page does, the theme is identical. Additionally, I do not need to visit the site to watch the talk, TEDx talks are mostly on YouTube. This talk does not even have the splash page: http://www.youtube.com/watch?v=VDpuJXgD7Rs
Sure it says "TEDx" but how is a casual viewer supposed to know what that means? How much effort am I really going to devote to the implications of the phrase "independently organized TED event" if I'm inclined to care at all?
> 3. Every TEDx video has this disclaimer: This video was filmed at an independently organized TEDx event and uploaded by the organizer. To flag a video (good or bad!), use this form.
I'll admit, I did not notice that disclaimer without you pointing it out. I'm not sure why, the font is large enough. Maybe it's the light gray text.
> So yeah, this was a gross exaggeration.
Nobody cares.