"Tenture" is indeed a fancy, possibly up-market term for "papier peint", usually if it is a heavy, elaborate paper and especially if it is in fact a fabric. If you live in France you must have seen places with fabric wall coverings, usually over a foam material. Considered by many to be up-market, "bourgeois", personally I mistrust the finishing, suspecting that they only do it because the wall underneath is too badly damaged to take paper without replastering first! In addition, disguising a door in this way makes people feel aristocratic, since it's the sort of thing you see in châteaux, doors dissimulated in wainscots or under "heavy" paper wall coverings.

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Note added at 2 hrs (2008-10-17 13:59:15 GMT)
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tenture - 1. (1889) ETOFFE, papier peint qui servent à couvrir les lurs d'un appartement : Une tenture de VELOURS ...
[Larousse Lexis]

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Note added at 2 hrs (2008-10-17 14:18:07 GMT)
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Une porte perdue porte en arasement du nu d'un mur ou d'une cloison : ces portes sont souvent CACHEES SOUS TENTURE, c'est-à-dire sous le papier peint qui tend la pièce.
fr.wikipedia.org/wiki/Utilisateur:Khardan/Test_B

Sous tenture

Porte "INVISIBLE" sans huisserie totalement affleurante avec la paroi afin de la faire disparaître une fois l'ensemble peint. Encore appelée "porte dérobée"
http://www.passage-porte.com/index.php?page=glossary

Despite the description of them being "dérobées", "cachées", many are really quite visible:
www.baermenuiserie.ch/detail.php?id=103
And here they are gaily painted, making them anything but invisible!
www.cholletfreres.fr/chollet/agencement.html

The Karen Neuburger Suite at Chicago’s Hotel Monaco has gone from rendering to completion as its luxurious FABRIC-COVERED DOOR opens to the ...
https://www.boutiquedesign.com/ezine/article.asp?AID=295

Upon entering the plush, FABRIC-COVERED DOOR, guests will be drawn to the suite's main focal point -- a large, ...
www.reuters.com/article/pressRelease/idUS142840 23-Jan-2008...

Maybe FABRIC COVERED DOORS? I really like the idea of the invisible door -- conceal it with wall paper so that it looks like a wall until you open it.
http://www.apartmenttherapy.com/ny/good-questions/ny-good-qu...

Mr. Sanders made a series of substitutions: sage-colored, FABRIC-COVERED DOORS made by Home Works in SoHo to hide the dressing room rather than a wall of walnut paneling, and in the bathroom, Kohler faucets instead of Dornbracht.
http://query.nytimes.com/gst/fullpage.html?res=9C04E1D6113EF...

In an office, fabric coverings on walls and doors will also help deaden sound, of course, depriving secretaries listening at doors of the latest gossip.