But that, in turn, comes from the finite nature.

The coins are used to get transactions into the network.

If it was infinite, the coins would have no utility, and no value.

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Sounds about right

Finite and infinite don’t really make sense in terms of supply. Better to talk about emission strategy rather than supply.

Hard cap vs soft cap (constant emission or tail emission)

Exactly.

Fixed emission > fixed supply for long term blockchain security.

Gold doesn't stop working or threaten it's security if people stopped mining it. Unlike Bitcoin.

Value is subjective. You would think a bitcoiner would know this. So it's weird for you to make such an objective statement as if it is fact.

Bitcoin controls the supply side of the equation. It can never control the capricious demand side.

Second, using "infinite vs finite" supply to define value is clearly not true. All resources in the universe are virtually limitless given more time, but still have value. We've been mining gold for thousands of years. Does gold have no value?

What is important is that the creation is not arbitrary and ideally predictable (unlike fiat). Using Monero's time hardcap as an example is 0.6 XMR every 2 minutes.

And I'm not even touching on the value of an L1 MoE that has real world fungibility and privacy combined with progressively cheaper transactions (without giving up core value props)...utility that bitcoin lacks.