If the bias reading follows the tube then it's not the bias circuit -- the tube is bad. The fixed bias bias circuit uses a 10 ohm resistor at each cathode and the voltage is measured between cathode and ground (the voltage is converted to milliamps by multiplying by 100). So if it's a zero reading then there is no plate current.
As to why the tube "tests fine" on the Hickok... I can't say unless I know what you are measuring. A Hickok 600 is a mutual conductance type tester and not an emissions tester. Emission testers sometimes use a low voltage low current power supply to do a static test and give a "Good-Bad" result only. The test current can make the tube work but when it's installed in the higher power supply current and voltage of the amp it doesn't work.
Also, I don't think you are hearing the bad tube. It's partner may be doing all the pushin' and pullin'. A 6L6GC tube will swing the full voltage signal at about 2 watts and under, which is plenty of juice for moderate listening levels on 88dB and greater speakers.
If that tube is bad, do not use it. A dead tube will drastically change the load impedance on the output transformer, possibly swinging the voltage over maximum dissipation which can damage the other tubes.
While we're at it... in fixed bias designs, both the 6L6GC and the KT88 can tolerate a grid to cathode resistance of 100K. If for some reason that resistance is a lot higher, it places stress on the power tubes and may be a factor as to why the tube went bad. To check, simply remove the power tubes and measure the resistance between pins 5 and 8. If it's above 125-130K then you should contact the manufacturer (damaged tube pin, bad solder joint, bad potentiometer). If all power tube sockets measure like that or higher, then shame on the designer.
Replacing the tube is a must.