The Wikipedia article on reserve requirements has a handy table by country, from which you can see that the required ratio is actually less than 10 in most of the developed world.
In fact, several countries have no reserve requirements at all! Following your logic, those countries should be even more volatile than whatever is going on in crypto currency land. I think we can safely conclude your logic is flawed.
Mind you, I still think the whole tether business is extremely fishy. I'm just annoyed by the spread of monetary just-so stories that pretend to apply to the real world. Reserve requirements are a red herring in modern monetary systems, because central banks will always guarantee liquidity by acting as a lender of last resort.