... The main question I have is how this tremolo actually works? ... I assume there is some fluctuation in the bias circuit which is used. ...
In case you hadn't found a satisfactory answer in your other reading, here's something that might help.
Any tremolo (not vibrato) circuit which does not use an optoisolator (or transistor/JFET) to ground the signal alters the bias of a tube somewhere in the amp to create a trem effect.
The trem signal is attached to a point in a gain or output stage where the trem signal combines with the bias of the stage. The trem signal is alternating, while the bias is steady. As a result, the trem signal alternately adds to, and subtracts from, the standing bias.
The varying bias turns the tube more-on and more-off at the rate of the trem signal. The guitar signal is then modulated at the rate of the trem signal, which we hear as a varying volume.
The trem signal is slow enough (often 2-8Hz) that we perceive it as a pulsating volume, rather than as an audio signal. That's simply because the trem signal is well below the audio range.
The "genius" of the output stage bias vary is that it is applied to both sides of the push-pull output stage at the same time, making it a common-mode signal. The push-pull stage responds almost exclusively to difference signals, meaning the two sides of the output most have different or opposite polarity signals. Since the same trem signal is fed to both sides, it can alter the volume of the output, but does not result in a "pumping" noise.
This is to be considered an upgrade over trem applied to a single-ended preamp stage, which might have continuous background noise at the trem rate. Leo Fender first patented a trem signal applied to a shared cathode resistor of a paraphase inverter stage (tweed Tremolux) to achieve this effect, then later it was applied to the output stage bias feed resistors when the amp's phase inverter was changed.