I've run extensive tests on the Epson Exhibition Canvas series of Matte, Satin and Gloss.
(Fair warning, I'm with Epson and cannot speak to other manufacturer's media)
Matte Black ink (MK) will yield the best D-Max and Color Gamut over Photo Black ink (PK)
In my experience, if final canvas prints produced with MK are to be handled in anyway, they should be coated.
If not coated, canvas prints produced with MK easily smudge and fingerprint.
The only advantage of using PK is improved durability in regards to smudging and fingerprinting.
But it is still recommended to coat canvas prints even if produced with PK.
If the prints are to be mounted and framed where they will not be touched, then there is no need to coat. But most canvas is stretched and thus the general recommendation.
Quick Tip
To get the best quality on the Exhibition Canvas series DO NOT select "Canvas" as the Media Type in the driver. Instead select "Watercolor Radiant White Paper" and use MK ink.
Dan (Dano) Steinhardt
Marketing Manager, Professional Imaging
Epson America, Inc.