Jean, Jean
You could use that same argument with salmon. Yes, they belong to the State, I'm a commercial fisherman, I work for the salmon that the State authorizes me to catch and sell. I'm not inclined to share the proceeds of my catch with you; what did you contribute to catching those salmon? 

The State has established protocols for you follow if you should want to go and a appropriate minerals. Should I demand a right to some of the gold in your sluice box if I didn't contribute anything to the effort? Of course not.

I'm not arguing against the PFD; just the idea that it's a constitutional right.