As for your argument, I've understood it and have already addressed that in one of my first responses to you. Since you seem not to be satisfied, I'll go one step further and leave it there.
Suppose a bitcoin bank exists and holds fractional reserves. That alone is completely possible. Suppose, now, that there is a run on that bank, and withdrawals cannot be satisfied. In this case, the reserves are depleted. In this case, the bank has lost all credibility, and either a) all borrowers from the institution are forgiven of their debts and the depositors lose their deposits, b) another institution buys up the bank's ledger and funds the repayment of depositors to pick up the loan obligations of any depositors to the institution, or c) the bank continues functioning and directs all payments of debts straight to fulfill withdrawal requests of depositors until solvency is reached.
In this case, the single bank is affected, not FRB as a whole. In this case, it was the single bank that miscalculated the risk (or properly calculated, but lost their bet on solvency, so to speak.) This neither requires a central institution to bail the bank out, nor does it act as a reflection on FRB as a whole.
At this point, there's really no further that this discussion can go. As it stands, you haven't accepted any arguments against your position despite any validity they hold, and there's really nothing else to say on the subject. It's up to you, and others reading the thread, to make the choice to accept the more reasonable position despite any personal attachments to a previously held opinion. I hope that I have given sufficient reason to believe that my position is the superior one, and I believe that I have done so.>
In your scenario, point b) why would other institution buy subject which has no assets only obligations? No such c) point will happen.
If a) happens no customer will ever trust any bitcoin bank using FRB, and if they do not announce it, the run will happen after first suspicion of FRB in such institution.
I think the one who doesn't understand FRB is you.
You don't seem to understand that in fiat money world the FRB is sustained solely only because of central bank ability to print new money out of nothing. Without that FRB collapses, entirely.
Have a nice day too!