I love TED talks as well, and like everyone most talks leave me with a whoa! But TED talks aren't a good model to emulate for formal presentations. It's great if you have an awesome punchline with a jaw dropping assertion, but most presentations don't. Just think about it how much of the details from the TED talks you have watched do you really remmember. That's not what TED talks are for. They are meant to push the viewers into deeper self research by attracting them with just a tiny dose of hyperbole.
And frankly most day-to-day presentations and even most pitches understandably don't have something jaw-dropping to talk about, or else they would attract a TED talk, no? If you're giving a pitch, chances are you have to convince the investor/audience with an almost complete narrative. Having a story framework is useful, but it has to have enough information that backs your assertions, which is not true for a TED talk. Data is important, but the art is in the way you present them. Having no data might point that you don't have a strong case, or just didn't care. So have one or two convincing data representations.
And slides are important, to help you say what you wont be able to say verbally and the second to guide the audience about the structure of your presentation. Most people aren't great story tellers. It's an art which few can be trained in. In those cases you need to use your slides to complement what you are saying and keep the audience engaged.
Nearly every single one starts with a personal story, which probably means they are trained to use this technique.