Jobs is a master brander and marketeer, as well as a visionary, (super) businessman and leader. I forgot where I read this, but even Woz said that if there were no Jobs, there would be no Apple, Jobs was the one who saw the business potential. Woz was the man behind the engineering, Jobs, the business and much of the idea and leadership, you really need many different and brilliant minds to make things that everyone else thinks is awesome.
Jobs was the person who after visiting Xerox Parc in the 70s, adopted technologies that are now a big part of modern computing. He saw, the graphical user interface (GUI), object oriented programming and networking. Apple didn't just copy what they saw at Parc, the mouse at Parc, which controlled the cursor in the GUI was extremely expensive, and prone to breakdown, Apple engineered an affordable version, the GUI at Parc was simple, windows could not overlap, the GUI on the mac could, Jobs was the man who started Apple down this path of adopting and improving on what they saw at Parc.
When Jobs got fired from Apple, he started NeXT computers, networking was a core part of NeXT computers, every computer has networking today but not back then, Tim Berners Lee, the creator of HTML used a NeXT computer to create HTML because of the networking capabilities. NeXT computers ran an operating system NeXT build themselves called NeXT Step (on top of the Free BSD Unix operating system, which is a command line OS), later NextStep was renamed OpenStep, it is the foundation for OSX, which is the foundation for iOS and the Apple watch OS.
Apple was in deep financial trouble in the 90s, and Apple could not progress with their own Mac OS development, in short, Apple couldn't sell hardware, and their software roadmap pretty much is a dead end. Apple had two prospects for a new and much needed OS, buying the developers of BeOS or OpenStep. If Apple's then CEO Gil Amelio didn't buy NeXT to bring back Steve and for the OpenStep operating system, there would be no Apple today at all, no iPhones, iPads, no Apple Watch, certainly no movies about Steve Jobs, Gil himself couldn't save Apple, but he made a good call there.
During the time Steve was ousted, he didn't just work on NeXT, he also bought and started Pixar, which created the first ever full length animated movie - Toy Story. Pixar wasn't named Pixar of course and was just a CG computing arm of George Lucas's (of Star Wars fame) special effects company.
Steve not only saved Apple, he made Apple what it is today, he hired many extremely smart people, like Tim Cook, Jobs didn't hire Jony Ive but he put him in charge of industrial design. Jobs led the way from colorful iMacs, took over the Walkman market with iPods, completely utterly disrupted the mobile phone industry, some giants in that business like Nokia, Blackberry pretty much died after the iPhone.
Now, not to belittle Woz, but what part of Apple's history was Woz involved in? Only the early phase, of course if there were no Woz, there'd be no Apple just the same, it really isn't a zero sum game, they were both key and are the co-founders. Movies make drama out of everything, exaggerating and tweaking the truth for the sake of trying to be entertaining.
I generalized a lot of points here so I didn't have to look up details and dates and references.