Isn't this similar to the property that any number taken from a natural distribution will tend to contain more lower digits than high, regardless of unit and ba

Isn't this similar to the property that any number taken from a natural distribution will tend to contain more lower digits than high, regardless of unit and base. Because 100x will become >200 "slower" than 200x becomes >300 etc. With slower meaning lower value of x. x in this case is usually a random variable centered around 1.