@bitserve
I agree with all your points and I'd like you to allow me to add two more point...
Even if there was no fractional reserve and even if all the peoples' money were really existing in banks, we'd have two more problems: security and "precision (?)".
1) The problem of security with cash is obvious, notes can be stolen and centralised digital accounts can be hacked. A successful 51% attack on a widely used blockchain though is not as easy.
2) I can't put a name on this problem but I'll give an example: A bank is holding 10% of a countries wealth in notes. An explosion scattering some in the air while destroys and burns others. What happens next? Do you print the notes again? Do you subtract the missing amount from the bank's own account? What about the notes that went flying? Similar problems in a much smaller scale happen every day, for example having a low value note cut in half or a coin drop in the sewers. I might interpret it wrong but I think that fiat currencies can't work with 0% fractional reserves and money printing, only the blockchain can work without these and still operate fine.
By the way, I'm from Greece, I've been through Capital Controls and we're still under some controls, for example we cannot top-up investment accounts with cards, only through the slow wire transfers.
In a way crypto can be stolen too. I mean, there's not much difference if crypto is stolen from a user (not the blockchain) or notes are stolen from the bank. It just change hands.
The same way, when notes are destroyed it is very similar to what happens when coins get "destroyed" (ie. sent to a sinkhole address or lost keys). The only difference is that if it can be proved a note is damaged it can be replaced/reprinted by the central bank otherwise it would just be money of the bank that it would simply lose.
In theory there is not "reprint" for missing/lost notes. And it doesn't matter because there are many other reasons for printing NEW money. Also, there is a procedure that defines what conditions have to be met to consider a note replaceable but I don't remember all the details. If the damaged note doesn't meet the criteria you have just lost it, if it does the central bank exchanges it for a good one.
How is Bitcoin doing in Greece btw?