If only some kind of institution that can hold coins safely existed. Some kind of central place with all the security measures. They can also offer you interest if you let them lend the coins to other people. We can call it a bank.
I am rather ignorant on the matter but indeed I don't like that some things/people are too big too fail in the system.
On the other hand, isn't that established that banks being allowed to issue more money than what is backed by their assets is universally recognized as "good" as in allowing for previously unseen economic development that benefits everyone (but not equally...) ?
The issue is malinvestment and misallocation of resources.
Leverage up on malinvestment (which is what most of the central banks and governments are doing) and it's the fast path to hell.
A fixed supply neutral third party money adds a sort of safety barrier against this leveraged malinvestment.
https://www.federalreserve.gov/monetarypolicy/reservereq.htm
The focus is now more on capital for assessing bank health.
See for example The Bankers' New Clothes: What's Wrong with Banking and What to Do about It (2014) by Anat Admati and Martin Hellwig.