The only way out of this is for customers to bargain collectively for the proper reserve ratio.
A simple example:
Bank has 90 deposits and 10 equity. That is used to finance 80 mortgages and 20 deposits in central banks.
Now, if the deposit customers have full understanding what kind of mortgages the bank has issued, they can estimate how likely it is that more than 10 of the mortgages fail, bank goes bankrupt and the deposit holder does not get paid full.
You see quickly that there is many ways how a bank kan reduce the risk in its credit portfolio. If the bank decides to lend only 10 and store 90 in central bank deposits, the risk of the bank losing more than 10 is quite small. but of course, you get more money from mortgages than from central bank, so you want to lend as much as you can to mortgages to maximize revenue. But then you need to pay also more to the (rational) deposit holders because of increased risk. You see also very quickly that even if the deposit holders had full understanding of the balance sheet, the calculations would be so difficult that wihtout regulation, most would inves their savings to banks that are riskier than what they think -> and lose their money.
I was sort of trying to get to a kind of the same point - tragedy of the point must yield regulation. Well, maybe it's not the same point. But I was trying!
There is literally no comparison. If Tether runs out of US dollars, they have no options, and people holding Tether have no recourse...
Even in the absence of regulation, centralised clearing and interbank loan markets and a central bank as lender of last resort, fractional reserve depends on bank notes circulating and retaining value because enough people actually need them to meet debt repayment obligations, not on sufficient numbers of people believing that it's fully backed by the financial asset they actually want in their portfolio.
(Also, the history of bank runs suggests the legal requirement might have been a rather good idea)