I think PB is right that you feel you need to support your case you might find a tube tester and document that the tube has low emission or low/zero transconductance. It certainly should be working with 6V on the heater.
It is possible that some wire that extends from the tube structures down into one of the pins is broken or loose. Unfortunately this is pretty much impossible to measure. In rare circumstances one can reheat the pins and reflow the solder that anchors the wire to the inside of the pin. I have saved a few tubes this way, but I would be hesitant to take an iron to a tube that I might try to return for refund.
You might also clarify with the seller how he determined the tube was working. If he just checked to see if it got hot then he would have assumed it to be working. If he used a tube tester he might have recorded the reading he got. If he tested it in an amp to check function and heard music then it most likely did get damaged in shipping.
The last resort I can think of would be to double check that all of the pins are getting adequate contact in the socket. Sometimes pins are slightly different diameters or they might be slightly bent and it's possible that a pin is not making full contact even thought that same pin on the 6080 is connecting well to the socket. Wiggling the tube in the socket can sometimes show that there is an intermittent connection.
It is possible that some wire that extends from the tube structures down into one of the pins is broken or loose. Unfortunately this is pretty much impossible to measure. In rare circumstances one can reheat the pins and reflow the solder that anchors the wire to the inside of the pin. I have saved a few tubes this way, but I would be hesitant to take an iron to a tube that I might try to return for refund.
You might also clarify with the seller how he determined the tube was working. If he just checked to see if it got hot then he would have assumed it to be working. If he used a tube tester he might have recorded the reading he got. If he tested it in an amp to check function and heard music then it most likely did get damaged in shipping.
The last resort I can think of would be to double check that all of the pins are getting adequate contact in the socket. Sometimes pins are slightly different diameters or they might be slightly bent and it's possible that a pin is not making full contact even thought that same pin on the 6080 is connecting well to the socket. Wiggling the tube in the socket can sometimes show that there is an intermittent connection.