It is very frequent to apply a "bias voltage" to obtain a "bias current" value (such as the zero-signal cathode current in the vacuum tube amplifier).
In my personal usage, I prefer applying a "bias" voltage to obtain a "quiescent" current, but that is equivalent.
The important distinction is between "bias voltage" and "signal voltage", the difference between a constant and a small variation about the constant.
While I get where you’re coming from, in my mind “quiescent” has the connotation of being a parasitic characteristic, while “bias” is something done very deliberately.
I assume the term for the zero-signal cathode current, etc., comes from "quiet".
The Google-search definitions vary slightly depending on the context: amplifier, logic gate, voltage regulator, etc. depending on if the "input" or the "load" is zero.
I suppose the quiescent current of a three-terminal regulator can be considered "parasitic", and you can't adjust (bias) it.
Typical discussion of quiescent current in an amplifier:
"When people talk about "biasing" an amplifier, they are referring to setting the "idle", or quiescent, current in the power output tubes.
All tubes must be biased, both preamp and output tubes, but it is not always clear whether or not the bias needs to be adjusted when changing tubes."
Here, "bias" refers to the voltage applied to the grid-cathode, either an adjustable voltage to the output tubes (called "fixed bias") or automatically by a cathode resistor ("cathode bias") on a power or signal-level tube.
Solid-state class-AB amplifiers have similar bias/quiescent current considerations.
Some class-B tube amplifiers can use "zero bias", depending on the actual tube characteristics (cathode current at zero grid-cathode voltage).
In my physics education, this is analogous to a simple harmonic oscillator formed by a vertical spring holding a weight, where the constant gravitational force on the weight biases the quiescent point away from where the spring would hang absent the gravitational field, and the oscillation is then about that level.