Talking about inkjet photo papers, there are two ways to look at this, and a basic issue underlying the discussion.
The basic issue is that although paper white is the same regardless of the printer / inks, maximum black can vary to a substantial / visible degree depending on the printer / inks.
Now the two ways to look at it:
(1) The easy thing to do is to compare the ICC profiles for the printer + inks + driver settings + paper combinations of interest. Various tools can do this, and if the ICC profiles are the older-type v. 2 profiles instead of the newer-type v. 4 profiles, then the free ICC View website will calculate paper white (and gamut volume) and let you optically inspect maximum black (bot darkest neutral and darkest color). You might find e.g. that a particular combination has, on the L* scale from 0 to 100, a range of 90, e.g., L* min = 6 and L* max = 96. With my little Epson, the papers with the largest range (Hahnemühle Photo Rag Pearl, Mitsubishi Pictorico Pro Hi-Gloss White Film, Epson Legacy Platine, and Epson Ultra Premium Glossy) have a range of 93, although some are on the whole darker (range 3 to 96) or brighter (range 5 to 98). At the other end of the performance envelope, the the paper with the smallest range (Epson Ultra Premium Matte) has a range of 77 (19 to 97).
(2) The more traditional thing to do is measure optical density. I'll use the examples above to compare. If as stated Red River Polar Matte has a density range in some unspecified printer of 0.05 to 1.65, then right, that's a difference of 1.60 and a dynamic range of 10^1.60 = 39.8:1. To convert instead to f-stops or EV, 1.60 / log(2) = 1.60 / 0.301 = 5.3 f-stops. Likewise, if Red River UltraPro Gloss has a density range (again) in some unspecified printer of 0.07 to 1.98, then right, that's a difference of 1.91 and a dynamic range of 10^1.91 = 81.3:1:1. Again, to convert instead to f-stops or EV, 1.91 / log(2) = 1.91 / 0.301 = 6.3 f-stops. So with this unspecified printer, Red River Polar Matte has printable range of about 5.3 f-stops, and Red River UltraPro Gloss improves that by about (just a hair more than) 1 stop to about 6.3 f-stops.
FWIW, in most cases non-matte and matte papers have relatively similar paper whites, but non-matte papers can usually show substantially darker blacks.
And if there's a way to convert between L* and optical density, I don't know what it is--but I'd love to know.