I'm confused by your first comment; the transactional throughput of Bitcoin is completely unrelated to money creation.
On the latter - I think it's more up to you to show that it would be. The value of most things is unlinked from their cost of production. A really obvious example would be a five pound note.
That said, yes, in the stable state, miners should only expend 1BTC-epsilon of 'effort' to produce 1BTC. So if a block contains 1BTC of transaction fees, you'd expect them to spend a maximum of 1BTC (currently ~$6000 USD) to produce a block.
In reality it's a bit more complicated than that because the value fluctuates far more quickly than mining operations can or will scale up or down.
So really, it's the opposite - 1BTC isn't worth the amount of effort miners put in, the amount of effort miners put in should be approximately 1BTC worth. Sort of.
On the latter - I think it's more up to you to show that it would be. The value of most things is unlinked from their cost of production. A really obvious example would be a five pound note.
That said, yes, in the stable state, miners should only expend 1BTC-epsilon of 'effort' to produce 1BTC. So if a block contains 1BTC of transaction fees, you'd expect them to spend a maximum of 1BTC (currently ~$6000 USD) to produce a block.
In reality it's a bit more complicated than that because the value fluctuates far more quickly than mining operations can or will scale up or down.
So really, it's the opposite - 1BTC isn't worth the amount of effort miners put in, the amount of effort miners put in should be approximately 1BTC worth. Sort of.