I'm more curious of someone as knowledgeable as Andrew to explain the differences in spectral reflectance between the Fuji inkjet inks vs the commercial press inks of the magazines.
I can't claim to be as knowledgeable as Andrew but if you stop for a moment to consider the different demands of commercial web printing (on paper, in long rolls, run on a printing press) with CMYK pigments in an ink vehicle (carrier) and how color inkjet materials (combination of dyes and pigments, depending on which brand and printer technology) are formulated, you ought to appreciate the vast differences in how the final products will compare under various types of lighting.
If you haven't already, Google <metamerism> for a perspective on what's going on when you take samples of both kind of printing & view them under different kinds of lighting.
There's so much
going on between the papers used, the pigments (here referring to both
kinds of printing) applied, and the spectral characteristics of the light not only falling upon the samples but also what gets reflected back to your eyes... then imaged on your retinas... then processed by the visual perception area of your brain... it's amazing to me how what we call 'color' gets understood at all.