Using an Epson R3000 printer and the correct MOAB provided ICC profiles I can produce accurate (compared to a properly calibrated monitor) prints when using Lasal Luster paper. When I print the same image, again using the correct ICC profile on Entrada Bright, the printed image appears to be flatter, or duller, than the printed image on the Lasal Luster paper.

To get similar qualities on both papers I am changing brightness and saturation. This however causes a subtle color shift I would like to avoid.

Is this difference in the image on the different papers intentional? Is the Entrada Bright paper and its ICC profile intended to produce a softer, quieter print when compared to the printed image on Lasal Luster?
Or am I doing something wrong?

Mips, you are asking a great question. The answer is that different media (cotton, alpha cellulose, luster, gloss, etc) have different qualities. It is common to comment that a luster paper has a more vibrant look with more contrast than something like a paper that is made from cotton. They are different in their print quality, and very different when it comes to how they feel!