In terms of property rights in space. the US has a law that does allow companies to keep whatever resources they mine in space, as long as they are US based. Luxembourg's new law goes one further by allowing those properties legality via the grand duchy, as long as the company has an office within the country itself.
The way the rule works now is, you can't actually own real estate in space (and yes, this will have to change, when claim jumping starts to occur and it gets nasty.. but space is really big ) , and while property rights to satellites are a bit of law that's established, the best bet for holding a claim on ore or manufactured goods made in space would be this model.
So Luxembourg may win the space race.