Here’s a question for you. Which makes more BTC: (1) the world today, (2) an alternate reality where the mining algorithm is the same but it’s being run on Matryoshka brains enveloping every star in the universe (all operating at the Bekenstein bound for efficiency and which can somehow communicate instantly)?
The answer is “they are the same”.
> Land prices near settlements will be high.
Irrelevant, the cost of getting stuff far away from a settlement is higher, even ignoring things like cleaning the panels and replacing obsolete compute. (Plus for your mining rig you need to get internet to it, which is even more expensive and at that point you should be asking serious questions about installing a power line instead of a data line, and yes people already suggest that for the moon with microwaves etc., I’ve had that conversation at least a decade before BTC was even invented).
Whenever the cost of getting to uninhabited places (in a controlled way not e.g. messages in bottles or crashes, which risk the destruction of your equipment and are unlikely to result in good PV orientation) has been lower in the past, people move to those places and make a new community and suddenly it’s no longer far from a settlement.
Also, literal profitable businesses literally put literal PV on literal rooftops literally at zero cost to the people under them and literally fund this by literally selling their output to the people living literally under them, and have done literally for years now.
QED the cost is not prohibitive, money can be made this way because it is already being made this way.
> using all that passive cooling and uninterrupted sunlight to generate coins
The only cooling on the moon is because the sunlight is not uninterrupted. The vacuum of space is a fantastic insulator.
Now a second question. Have you heard of Dutch disease?
Because even if you go back to the setup in the first question and change it to make whatever number of BTC you fancy, money just does not function in the way you’re expecting it to.
No get-rich-quick scheme can be scaled up to a community, even in the rare cases that they aren’t scams. And trying to, breaks stuff.
At best, even if BTC (or whatever cryptocurrency you want) had no flaws and was a perfect system, all money is just a token of wealth, it is not wealth itself.