I wouldn't call either one of them "inventors" because the two harsh assessments in the article, that Gates "shamelessly ripped off other people's ideas," and "Apple's iconic products like the iPod and iPhone is that the company didn't invent such technologies as portable music players and multitouch screens—it just refined and repackaged them" are, on the most fundamental level, true. But it's not that fundamental.
Gates bought the idea that launched him - PCDOS. And the argument can be made (and has been, successfully) that Windows was just a slightly different refinement of Star, not a rip-off of Mac OS. Beyond that, he fits the assessment of Apple better than himself. Excel was a little better than Lotus 123. Word was arguably a refinement of Worstar. Outlook...ok, Outlook sucks. It's hard to argue with that unless you like a mailbox full of crap.
Apple? I think what they did with Xerox Star, touch technology, MP3 players, online music, pads and pods and smartphones goes way beyond "refined and repackaged," and I think the numbers, the absolute market share dominance (without a monopoly in a key market like corporate users) in several of those categories, proves it. But really, I don't think any of those things are Jobs' legacy. His legacy, and his success are all about an unwavering commitment to the customer experience, IMO. A lot of companies, in a lot of categories, could profit learning Jobs' lesson.
And I'm sure Jobs would have said nice things about Bill if he had died first. That's our kindest form of hypocrisy.
Tim