... More filtering at a given node=a tighter feel/sound. ...
It might help to think in terms of "Electrical Cause, Electrical Effect, Sonic Result."
Electrical Cause: More filtering (capacitance)
Electrical Effect: Lower power supply impedance
2nd-order Electrical Effect: Less voltage drop/sag
Sonic Result: Tighter feel/sound
Now what happens if you go in the opposite direction?
Electrical Cause: Less filtering capacitance
or Lossier rectifier
or Resistor instead of choke
or More power supply resistance
Electrical Effect: Higher power supply impedance
2nd-order Electrical Effect: More voltage drop/sag
Sonic Result: Looser feel/sound (with significant power output)
Now connect the dots between the 1st- and 2nd-order Electrical Effects: "More impedance" is related to "More voltage drop" by Ohm's Law; the missing element is
Current.
In a guitar amp, output tube plates draw significant (varying) current with varying power output; this could be 10's to 100's of mA's. Output tubes screens draw some varying current with varying power output; this could be 5's to low-10's of mA's (generally on the very low end of that range). Preamp tubes draw the least current with varying output power; maybe
as much as 1 mA, or a hair more.
I would therefore suggest that the preamp current draw and filtering has little effect on the overall amp feel. The rectifier/filter (and PT capability) setup around the power tubes dominates the situation.