All creation is a mine, and every man, a miner. - Abraham Lincoln
I love a play on words. Nothing like a pun to make my day. This week I am thinking about two meanings of mine.
Mine refers to a thing or things belonging to or associated with whomever is speaking vs mine as in the extraction of valuable minerals or other geological materials from the Earth.
As you suggest in your reflection they both suggest having control over - power to influence and prescribing as a commodity - a useful or valuable thing. Mine opens us to exploration.
Mine also seems to define a relationship between self and the other. A prized possession.
Something that is mine is a very human concept.