Which Will You Be, Stubbornly Persistent or Persistently Stubborn?

If at first you don’t succeed, choose your attitude with care

Some people see persistence as good and stubborn as a mere blink away from stupid. (John Leech Sketch Archives 1841–1864)

If at first you don’t succeed, try and try again. Except that sometimes you will appear to be stubbornly persistent and at others persistently stubborn.

Which is which?