I am not aware of any law that supports this statement.
There is no law that requires me to carry ID on me at all times (only when performing certain activities, like driving, carrying concealed, hunting, etc)
So what happens if I happen to have been accused of a crime by an officer while swimming in Lake Michigan, nothing on me but my swimming trunks?
Are they going to charge me with some made up charge of "Failing to provide ID?" - No - because there's no law that requires it.