Arm/cartridge resonance has nothing at all to do with how loudly you play your music. In fact resonance can be measured in total silence.
Agreed, except that I think my Tacet test record requires acoustic feedback and a human ear to listen for mis-tracking. It is totally different to say Analog Magik which uses computer programs to analyse waveforms.
The target is for the arm to vibrate in a range between 8-12 Hz. Yours is 6 Hz, which is causing something to vibrate sympathetically, probably a simple multiple of that value.
There seems to be a resonance at 6-Hz, but I now think it is not the arm, but the sub-plinth where I was aiming for 4-Hz. Will let you know in a few weeks after I change the suspension from 8 sorbothane hemispheres to 6!
By placing a weight on the head shell and rebalancing the tonearm, you effectively increased the mass of the cartridge/arm assemblage. I know that is counter-intuitive, but it changed your resonant frequency and got you our of that situation. End result: it sounds a little cleaner.
I did not really see any change in the resonant frequency! It is still 6-Hz.
This is all useful stuff - thank you

