I'm trying to figure out what are the advantages and disadvantages between matt and glossy paper...

It seems that people prefer matt against glossy, but I acn't figure out why. Right now, I have no choice but to use glossy inkjets (I have only Photo Black inks), I really like FineArt Photo Rag Baryta as cool and FineArt Baryta and Galerie Gold as warm, but there are number of matt paper users. According to Luminous, glossy papers have more DMAX than matt. Even piezo inks are matte and to make them glossy you need to spray gloss over.

Is is just because of paper reflectance? What am I missing?