To further argue the point. If all mining of gold stops. Gold will become more valuable as it will become rare.
and if all mining of btc stops btc becomes frozen in the address it is in. unable to move digital across nations.
So yeah mining does affect and control btc much more than it does gold or silver or precious material.
Not so much oil which needs continued mining to exsist.
In a way oil is a better model than gold for btc but the reality is neither oil or gold model the way btc does when it comes to the mining of it.
its why traditional supply and demand is not exactly correct to say that is controls btc price.
btc mining can directly influence supply across the board.. in and it can directly influence demand.
gold mining can only partially influence supply.
Imagine the mining fees to the one who keeps his rig running long enough though!
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