I only stated that when charge time gets higher - ripple
is higher (capacitor is charged from the bottom of the ripple to the
next peak)
Which is wrong. The next peak (voltage) will get smaller, and the total ripple will be lower. The high frequency ripple (which most impacts THD) in most amplifiers and can induct IMD will get much lower. Don’t believe me then feel free to build an amp and test it and/or simulate one.
I only argue that at the moment when net capacitor
current is zero (peak of the wave) voltage on capacitor depends on
source voltage and source impedance. That’s the peak supply voltage for
the output stage. How much it will drop depends on total source
impedance including house wiring, power cord, fuse, transformer windings
resistance and added impedance of the filter in conditioner.
Here you are totally ignoring the load the is not synchronous to the source. You can’t do that. That is where the error in your logic is. This only applies, to some degree, at much less than 2x line voltage. Dynamics we tend to associate with mid-bass.
If this filter is poor then voltage drop,
especially on inductive reactance, can be high. Even if we assume only
10% it will result in 20% loss of max power - equivalent to about 6% of
drop in perceived loudness.
You are treating the "inductor" as a resistor effectively, and the load as a constant current load, both in the DC domain with this argument. Again, that is incorrect logic. Even with 0 resistance, any frequency beyond 2x line frequency in the load (and effectively less depending on timing) mostly eliminates any benefit of charging in the short term.
Large linear supplies have a lot of filter capacitance
reducing voltage ripple to very small resulting in even narrower and
higher charging current pulses and much higher voltage drops on
conditioner’s filter impedance.
And again, if you add resistance or inductance, the size of those charging currents gets less, meaning the high frequency harmonics in them gets less (less noise / THD and potentially less IMD), and the length of time of charging gets longer.
I use Furman Elite 20PFi. They call it "Power Factor
Correction", but in reality it is huge inductor in series with large
capacitor (in parallel to load) that stores energy delivering up to 55A
current for spikes (it presents resistive load to mains).
Let’s look at your Furman. Do you really think it delivers 55A peak currents from that capacitor in your system with a linear supply? It does not, not practically at least. The only time it can supply anything into a linear supply is when the voltage on that capacitor is above the transformer reflected voltage on your linear power supply capacitors. The problem is the voltage on the cap in the Furman and the reflected voltage of the capacitors in the linear supply in the amplifier will be exactly the same as it progresses through the charge (AC) cycle. Effectively, the capacitor in the Furman ends up in parallel to the capacitors in the linear supply (reflected through the transformer) once the diodes start conducting and it does not end up transferring any power at the start of the charge cycle, and only a small amount at the end of the charge cycle when the AC voltage decays. It is likely a film capacitor and hence able to store much less energy than the caps in the amplifier power supply. The only time it will supply a large peak current (very short duration and not much energy), is if the amplifier has a large load right after peak of the AC cycle.
For an LC PFC to be effective as PFC, it must be exactly tuned to the load including the reactive components in the load (i.e. capacitors). Odds are your Furman is rarely presenting something that looks like a resistor to the mains. The inductor does improve power factor and reduce THD on the AC lines, but effectively the capacitor is doing very little to help that due to the nature of the load.
I will guarantee you that under peak loading, due to the inductor in the Furman, the rail voltage on your supply is slightly dropping, and that is a good thing, means the ripple/noise is being kept under control. I would expect taking out the AC capacitor in the Furman would have almost 0 impact on the DC rail voltage in the amplifier under loading but I would not suggest it. What it will be good at is suppressing high frequency noise coming in from the AC line.