FWIW, with cathode bias the bias is obtained by making the cathode +ve with respect to the grid (which is at 0 V), whereas with fixed bias the bias is obtained by making the grid -ve with respect to the cathode (which is at 0V).
Therefore, with fixed bias, you get more gain with the same plate and screen voltage, because the voltage between the cathode and the plate (which is what counts for gain) is greater than it is with cathode bias.
However in cathode bias, you can bias the stage right up to 100% of its maximum-rated dissipation, because the cathode resistor acts to 'put a brake on' increases in tube current during the signal swing. As the current flowing through the cathode resistor increases, the cathode voltage also increases accordingly (because the cathode resistance is constant - remember ohms law? V = I x R), which therefore increases the amount of bias, which therefore brings the tube into equilibrium.
That is why, in fixed bias, you have to idle the tubes at lower than their maximum rated dissipation, because there is nothing to counteract rises in tube current during the signal swing, and you need to leave a buffer so that the tube can handle those increases in current. Hence we (usually

) bias the power tubes at around 70% or lower of the maximum rated dissipation. 2CW