I actually wrote the Moab Paper review back in 2003, and here are some thoughts on the subject.
First of all, some of the papers in the review are no longer available, but have been replaced by newer products. I want to look into these papers at some point. It is also worth noting that since 2003 I have done some paid projects for Moab Paper, such as creating profiles on the Epson 2400 printer, as well as helping out at trade shows.
To get the best results out of any paper, you need to have either excellent available public profiles or have them made for your specific printer/paper combination. You will also generally see the best prints with the use of a RIP like Imageprint or Studioprint.
Personally, I use Moab Entrada Natural 300 for all of my portfolio prints that will be handled, and Entrada Natural 190 for prints that will be behind glass. I am also looking into using Kokopelli Semi Gloss for prints behind glass, but the more traditional type papers require a period of time that many term 'outgassing'. Expect to have the print out for 24 hours before framing. Entrada also has a unique place in the market because of the availability of larger cut sheets. 17x22, 24x30 and 24x36 being common examples. Entrada is also double-sided.
I use Moab Kayenta Matte for all of my everyday and proofing needs.
If you are using the profiles from their web site, and are not achieving the results you think you should be getting, think about getting custom profiles made. Most profiling houses charge $50 for this service. I was in a period of testing every known paper on the planet a few years ago, and having third party profiles made for me was not cost effective, so I purchased my own profiling solution. Gretag Macbeth, Colorvision and XRite are some good names to start off with.
I hope this helps!