[DaleHCook]

You need to confirm good mutual conduction for all tubes.

I will second that. Different tests, offered by different tube testers, have different uses. I use my emission tester (EICO 625) only for power tubes, where low emission can render a tube useless for producing power. For small-signal tubes I find my dynamic mutual conductance tester (Hickok 533) more useful. Bear in mind that no tube tester can tell you if a tube is good - it can only tell you that is is not definitely bad. Only the way that a tube behaves in the circuit where you are using it can tell you that it is good. Doing so may require specialized equipment (such as a quality oscilloscope or a laboratory grade signal generator) in the hands of an experienced restorer. That is why many of us have built up stocks of good used tubes.