In this example let's pretend no other cryptocurrency exists except Bitcoin. People will simply wait for Bitcoin's market cap to top out whether it's from capacity, fees, full saturation, etc, then once they notice it has, all of that money will then run to the exits in a stampede to cash out for gold and silver since it's a superior store of value. So in this regard, no matter how good you think you can do in creating some type of digital monetary contraption, in the end you will always be operating the equivalent of a pump and dump or elaborate casino arbitrage game
You seem to be missing a few important details
I see that there is no fiat in your scheme of things. But you can't escape from explaining its interaction with gold either since it is just as bad money in comparison with gold as Bitcoin is (or even badder than it). But you say nothing about that. Fiat has been there for ages but have we seen anyone running to cash out for gold and silver massively? I guess it is a far cry from that. In most cases, people just run for another fiat currency if their local one gets heavily devalued. Further, in the last 35 years gold didn't even outperform dollar inflation, so there is no particular reason to think that your theory can stand. Just because reality is nowhere close to what it claims