It's nothing to be afraid of...I've taken very well-mounted plants out of baskets by soaking for 30 mins or so and then carefully moving the roots off the wood.
My husband takes the 4 corner pegs out of the basket and as I remove the roots, each layer of wood is removable...like that game Jenga
I also had a 'chid (label says Visea Phal, which means nothing to me) that was mounted on a stick. I bought it in bloom and after the blooms died off, it just stayed stagnant. No growth, no anything!
I decided that I'd experiment because it was basically a healthy plant, just not very happy
I soaked it well, removed the roots from the stick and mounted it at the top of my first driftwood project...it's very happy now! New growths and roots. Haven't had it rebloom yet but I'm sure it will
If you really want one of these plants don't let the "mounted-only" availability stop you