Yes, you got it.
So: the bias voltage that you are adjusting is a negative voltage that you do not measure. The voltage you do measure is across a low value cathode resistor, conveniently added by the manufacturer, which allows you to "see" the current through the tube using ohms law.
If the amp did not have this resistor, you would need to insert a current measuring device in the circuit where the resistor goes at the cathode, either way you would have to break the circuit to do this or use a bias socket adapter.
So to some degree there were elements of truth in most statements.