Regarding caps in parallel with plate resistors, whatever stage they're used on, isn't it better to connect the cap between the tube's plate and ground, vs the plate and HT?
...
But when the cap is placed in parallel with the plate resistor, any noise in the HT is coupled directly to the stage's output. ...
This is good thinking! But it will help you to change your perception of a capacitor...
Don't look at a cap as a "pipe for signal". Think in terms of a frequency-dependent impedance: very low impedance (or "resistance") for highs, and a high impedance for low frequencies.
If there is noise on the B+ supply, it is likely to be 120Hz plus any harmonics (120Hz due to full-wave rectification). The upper harmonics of that noise should be substantially reduced by the filter cap(s).
What reactance (the "a.c. part" of impedance) does a typical bypass, say 200pF, cap have? X
c = 1/[2*Pi*120Hz*(200*10
-12F)] = ~6.6MΩ.
The cleanest d.c. in most amps is that which feeds the input stage. But let's say there is some 120Hz noise on it... The noise will then see a voltage divider made of that 200pF plate bypass cap and the grid resistor for the following stage (we'll ignore any additional voltage division due to the coupling cap).
So the 6.6MΩ against a 1MΩ (typical) grid resistor will reduce the noise by a factor of ~7. And for most amps the 120Hz hum on the B+ near the first preamp stage is only a couple-millivolts. Meanwhile the guitar signal will be several volts to tens-of-volts.
So you're probably looking at relatively little added noise, if it's even perceptible. Some hi-fi designs really go crazy about trying to minimize power supply noise, but it's not always clear the effort is worth it, or whether they put so much effort into hum neutralization to allow for more slop in the basic power supply.