Who tried Class D only to return to S/S or Tube

Kijanki,
I believe you misunderstand what a critical inductance choke input supply is. The input choke serves to smooth the current draw - I have attached two simulations of the power supply I use in my amps showing the current draw in the first power supply capacitor. The left half of the picture is the supply as-is (with choke input); the right half is the same supply set up as cap input.

http://i1243.photobucket.com/albums/gg559/Quagmire22/Choke%20vs%20Cap%20Input%20Supply_zpsnywzj0ww.p...

Notice that with choke input the draw is a smooth sinusoid. With cap input the draw is as you describe - sudden sharp pulses. The energy storage of the input choke smooths the current draw and also contributes to the very good regulation of the choke input supply.

Ait, Perhaps I'm missing something.  Imagine rectifier charging capacitors to 50V with 5mV ripple present. 

http://i.stack.imgur.com/BLGnf.gif

Capacitors are charged ONLY during voltage increase on capacitor.  This period for 5mV ripple (1% of 50V) is:

Arccos(0.999) x 16.6666ms / 360deg=0.12ms  

Charging current has to be huge (hundreds of amperes) during such short time to meet average current draw.  In addition to this huge current spikes rectifiers are not fast enough to turn off at the peak of the voltage conducting current for a moment in opposite direction to snap back to zero.  That creates extremely short spikes that large inductive caps won't filter and that will couple to any LC circuit.  Using "softer" diodes (faster switching - slower snap back) helps to reduce this noise (makes pulse longer).  There is a lot of switching noise from Linear PS polluting from 120Hz to tens of kHz

In addition to noise created by linear power supply huge spikes of current have also huge rms/average ratio causing big losses in transformer windings while high frequency component causes losses in the core (eddy currents, hysteresis).  You might filter these spikes with chokes but capacitor itself can be only charged during very short time (fraction of ms).

Ait, I understand that choke helps storing and releasing energy, but it won't affect charging of capacitors that has to happen in very short time.

I showed the current waveforms through the first PS Capacitor in each case. It's clear that in one case there are sharp spikes through the cap, in the other there are not. 
The rectifier is not directly charging the cap, it's charging the inductor, which stores the energy in its magnetic field, then the inductor output charges the cap. Filter topology is LCLC.

Your link shows a cap input supply, by the way. Put a choke between the rectifier and cap and you get a choke input supply.