Economists and financial experts have alluded to the fact that fiat currency have been encumbered by several challenges.
Some of which include the costs of printing and allocation.....
the cost of moving it from place to place ( security)
the cost associated with storing (saving)
the cost associated with inherent loss of value due to inflationary pressures and so on.
If bitcoin holds the answer to some or all these issues, then the implication is that the prospects of the bitcoin is grater than any of us can imagine.
None of these are really problems that bitcoin solve, because these are only problems that commercial banks and central banks are concerned with.
The main problem that bitcoin solves in my opinion is centralisation of financial services, and the money supply. Since bitcoin is decentralised, it means that no central entity will ever be able to abuse their power to issue currency, nor will banks be able to potentially block any transactions and/or fail in a financial crisis due to the fact that the entire economy operates under fractional reserve.
And as you mentioned, bitcoin is a hedge against inflation. It's disinflationary as opposed to fiat being inflationary, which makes it in my opinion a much better store of value in the long term.
But the problems like the cost of printing money, and the cost of storing money, etc. can be solved by cashlessness alone. The central bank settling transactions electronically (which they already do) solves these issues. Bitcoin is a subcategory under cashless payments, and there is a clear distinction to be made.