Bitcoin is not backed by anything. It would probably not exist in a free market.
I assume you mean a free market doesn't exist today. I would agree although
a quasi-free market does exist, and Bitcoin exists in it.
But I need no reason to assume that the more free the market gets, the less people would use Bitcoin. Just the opposite.
You do have a point that something like Gold is more attractive because it has uses other than a medium of exchange. However, it not not easily divisible, transferable, or portable like Bitcoin.