I don't think you can make it linear. The design of Bitcoin is the very reason why it is of high demand. At least, everything starts from there. And by design, it includes its scarce nature and using a decentralized network. Scarcity and network don't follow either one of them. They're both there at the same time right from the start. It is not as if one becomes so valuable and the other consequently shared its value.
So I don't see a chicken and egg dilemma here. From the three aspects that you mentioned, I guess it would always be Scarcity & Network --> price.
The whole reflection is revolving around also considering upgraded forks of Bitcoin, which, on paper, have a higher value proposition:
- LTC is processing transactions faster (blocktime 2.5m) + scrypt algo
- XMR also has a lower blocktime (2min) + privacy
- BSV should also eventually be more optimized for scaling.
Then, if we are rational on the value proposition, Bitcoin should be valued less than them.
But still differentiate on a couple points:
1- The symbol it represents for the industry
2- The base pair for most other crypto (progressively loosing it for stablecoins)
3- The most known and advertised
4- The biggest network
Since we would all prefer to think it has real value and isn't a pure speculative instrument built out of hype, point 4 should prevail.