Within 20 years, its financial status and role exceeded that of gold, and it became the most important international currency in the world within 50 years.To me, these two things are about as certain as the Earth will still be orbiting the sun in 50 years。
Is this what the whitepaper says or are you saying this from your own assumptions and expectations?
It isn't stated on the whitepaper but the lines stated by @OP may happen. I don't consider it a vision but rather the result of Bitcoin Vision.
This
A purely peer-to-peer version of electronic cash would allow online payments to be sent directly from one party to another without going through a financial institution.
and this
The cost of mediation increases transaction costs, limiting the
minimum practical transaction size and cutting off the possibility for small casual transactions,
and there is a broader cost in the loss of ability to make non-reversible payments for nonreversible services
can make Bitcoin the most important international currency in the world because of these characteristics
Boundless
Cheaper transaction (international transfer)
Frictionless
non-reversible transaction
and does not need a financial institution to complete the transfer.