It may help you to know there is plenty of media available in a truly dull, matte finish which requires no lamination at all, especially for interior wall decor / murals. It's the coating, not the ink.
Different inksets tend to have different gloss levels. Many, if not most eco-solvent inksets have relatively high gloss. Most UV inks have very low gloss. The Canon Colorado 1650 UVgel can deliver either a gloss or matte finish based on the type of cure. HP Latex inks take on the appearance of the substrate, appearing more glossy on a gloss media, and more matte on a matte substrate.
Colorcrest is also correct in that there are many distinct classes of wallcovering. Some are pressure-sensitive SAV (including the Avery MPI 2611), others are ASTM F793 Type II smooth or embossed that need to be traditionally pasted. Still others are non-woven or woven, either water-activated, pressure-sensitive, or traditionally pasted medias. PhotoTex is a polyester fabric with pressure-sensitive adhesive. Each has a place in the market. If you are looking to target the self-install consumer market, both water-activated and pressure-sensitive options are a great choice and are widely-used. For commercial applications, Type II fabric-backed wallpapers installed by a professional wallpaper hanger is a common practice.
Understand your market and make media choices based on their expectations, requirements and capabilities.
Good luck