The headboard in our TT fell off a year or two ago. I flicked the top sheet against it (lightly too) and bam, off it came. No wonder - it was just held on with a few wimpy 'lil staples. Coulda killed someone in their sleep, lol...
I used interlocking metal mirror clips (Lee Valley has them in photo below) on the wall and backside of the headboard (fabric stapled to 1/8" luan) to rehang it. Careful measuring required! I used green painters tape. Glued on some strips of 1/8" ply for more thickness for the screws to bite into. Headboard will never come off again. You could do similar and glue the wall covering of your choice to some 1/8" ply and use the same mirror clips. Will even give you the possibility of easily changing the covering if you ever get tired of what you initially did. The front walls of a TT slope so if attaching something to it, gravity may a factor depending on what you're doing.
I would experiment with a piece of luan in a hidden place and see if the product you are thinking of sticking to it will adhere properly. As noted somewhere above, some luan finishes will not take a glue or adhesive and will separate. BDTD on a previous TT.
![](https://i.imgur.com/DHtgc3Gm.jpg)
![](https://i.imgur.com/CbMYL3im.jpg)
![](http://www.leevalley.com/en/images/item/hardware/fasteners/00m8501s2.jpg)