Can you imagine what might happen if the land of the U.S. federal reserve building was somehow transferred to a random individual?
I used to get "free money" in my bank account all the time. Some banker would make an error, depositing a check from a member of a separate branch into my account with the same account number. The mistake was usually noticed during an audit and the money would magically be removed from my account.
Reversible transactions do have their place, I suppose.