@jeff_strater wrote: At least as far as I can tell, in your design, this does not repeat any colors.
I'm not 100% certain exactly how this works, but since I posted a live link, I think you may be seeing the current version of that file. This version reflects the fact that I went back after learning about Cycle Component Color and manually fixed the colors to make them more distinct. At the time of the original post, the colors were extensively duplicated as shown in the OP.
Just out of curiosity, I went through and compiled the actual palette that Fusion 360 seems to be using on my Mac. (I seem to be missing a few, but whatever...) Of course, color is protean and exact values can shift when captured by screenshot and then edited into a palette and converted to sRGB. Nevertheless, this palette pretty much matches my subjective impression of "Fusion 360's favorite colors":

I think this pretty much speaks for itself: At least six different indistinguishable versions of muted orange. Four indistinguishable versions of icy blue. Four indistinguishable versions of dark orange. I'll be generous and claim only four indistinguishable rosy pinks, but the last color in the rosy pink aisle is probably not distinguishable from the muted oranges. Someone really likes orange. 🙂
After looking into this, I think you (@jeff.strater) are right that there are only so many colors you can include in a palette while maintaining distinguishability, especially if the colors are represented by tiny slivers displayed at distances from each other. And I don't mean that in a vague "surely there must be a limit" sense - the number seems to be about 15.
So, I suspect it was probably a mistake to go from 10 colors to 36. 36 likely can't be done. But 16 is probably doable. And yes, better that colors be obviously and clearly duplicated than that you are left with color assignments that might or might not be the same.
Here's an alternative palette from https://medialab.github.io/iwanthue that only took a couple of minutes to generate:

I'm not proposing this as the palette; it's not as harmonious as the current one. But at least the colors are both distinct and neutral enough to use in the context of Fusion 360. It's just proof of concept that a graphic designer could likely come up with something much better than the current palette.