I've now tried both Semigloss and Glossy using ABW on the 3800. They are almost indistiguishable, with perhaps a little [barely noticeable] increase in contrast and slightly greater separations in the lightest gray tones, with the glossy setting. [16 bit, ABW, perceptual, neutral, glossy, dark]. What is striking is the absence of any bronzing or gloss differential. These look like F surface glossy prints!
I also tried QTR, and results are similar with it and ABW, with perhaps a little less contrast and more separation in darker middle tones in the former case.