Realistically speaking, even aside from the replicator thing, there's no good reason why a space-based society would find any metal precious due to scarcity. It can be hard for us to extract certain metals from beneath the surface of the Earth, but mining just one fair-sized asteroid could give you thousands of times as much gold, platinum, or other precious metals as has ever been extracted from the Earth's crust (since much of the precious metal in the Earth's crust came from asteroid bombardment in the first place, so what's here is just a tiny fraction of what's out there). So by all rights, the concept of any metal being rare and precious would be obsolete in any spacegoing civilization, unless it were a stable transuranic element, or some difficult-to-create alloy like Damascus steel. Gold would be extremely common, and whatever value it had would be a function of its utility and beauty.
The kinds of minerals considered precious might be limited to those that could only form on planets with liquid water, like emeralds. Anything that could form in an asteroid belt would be exceedingly common. Although I can't even be sure of that, since some asteroids are part-icy and might've had liquid water at some point in their histories. Still, that suggests such gems wouldn't be that common even if they did sometimes form in asteroids.
