As said linen backing isn't REALLY reversible. you can un-back it, but needs to be re-backed again.
Although there was talk about an alternative method a couple of years back on NS4, which Dario was experimenting with. I'll try and find the thread.
I have a few backed items, one that needed it, one that I bought backed, which didn't, but it was cheaper than an unbacked one, and I like the artwork (Burn Witch Burn US 1 Sheet), one was a gift from a restorer for my birthday. And a few Danish posters that are terribly backed, but less than $5 each, I didn't care, just tack them to my wall.
I prefer unbacked, unless it needs it. I love paper.