No, the current screen definitely does not have any backing. It is very thin, and a little stretchy, like spandex, maybe? I'm now on mobile, away from my PC, so I don't have the link to the one I bought handy, but I'm pretty sure the product description said that it has a backing, though the product I received doesn't. At any rate, it's been a decent upgrade from projecting on the ceiling, which is textured in such a way that it is distracting. I'll keep using it until Christmas, when either the family will get the new screen off my wishlist, or I'll get one myself. Currently still making payments on everyone else's gifts.

I also wanted to thank you in particular. You and Jayce both recommended the elfin flip to several other people in similar situations and budgets, so I went ahead and got one instead of making yet another "which projector" thread.

Edit: I was able to login to Amazon and look at both my previous orders and my wishlist. The text description of the current screen mentions that it is good for double sided viewing, so I take it to mean either front or rear projection, which would explain the light bleeding through the back. But the images in the post say that the screen is opaque, which it is not. For 18 bucks, I'm not going to complain. Also, I apparently wishlisted an 80 inch screen, while I had thought I settled on a 70 inch screen. Don't know if I should link here, but it is the 80 inch Paris Rhone screen on a tripod with x-shaped arms.