You don't. Knowing that there is garbage peppered into everything makes it all less reliable.
The worst TED talks are flawed largely because they were about the promoting speaker rather than the subject. (And with that, erroneous information followed). TED Ed has a dedicated team of producers and writers for each video that translates some complex ideas from a qualified educator (researcher, historian, science writer, etc.) into video form.
Knowing a portion of the "factual" information won't actually be factual and passing on a source because of that isn't extreme skepticism.
Areibman is saying that in the set of all "TED" talks, there are a lot of bad talks, but in the specific subset of "TED" talks called "TED Ed", the quality is much higher.
The quality of TED talks is probably the most variable of anything I've seen, but TED Ed is consistent. It may just boil down to taking more preparation and conscious effort to make an animation.