If banks can print money they are the same as govt

It is an empirical fact that banks print money if the credit of fractional reserve banks trades at parity with cash. Whether this fact is due to the presence of government deposit insurance or if it is for other reasons we cannot know... unless we remove deposit insurance which would not be popular. Banks print money if unbacked credit is worth more than zero. They might not be able to print money if they were without deposit insurance but we can only speculate. People might trust banks for reasons we do not know about.