Thank you for your patience and help my friends.
Handymann - hire an exorcist – indeed !! I played Crime of the century (Mofi version). Woofer pumping between tracks – yes, some. Much energetic woofer vibration in the loud parts of the music - yes. But it sounds great. You said the Fathom subs “didn’t like it”, what happened?
Atmasphere - the pumping seems to repeat very exactly once per revolution – yes. But why does that point to the turntable, rather than the vinyl? My suspicion is that I pick up vinyl noise. That’s why it varies between records, and why I see it also on recordings made on my former VPI turntable. And why tightening the spindle housing and oiling the spindle made no difference.
So yes, I have a main suspect, so far – the low or borderline low cart-arm-resonance, around 7 or 7.5 hz. I will have to check with a lower compliance cartridge, when I get the chance. I borrowed an Ortofon Cadenza Black a year ago. At that time I was not much aware of the pumping problem (maybe, it was less prominent), but I remember that I felt the sound was more polite, less grunt in the bass, compared to the Atlas (the data of the Cadenza, combined with the SME V, suggests a resonance around 8.5 hz).
Raul – try another phono stage - good suggestion. Maybe the “borderline problematic” resonance interacts with some other factor, like an over-eager phone stage (or some non-optimal tubes in it). I will test with my ASR Mini Basic phono stage, solid state, very decent sounding. I bought it since the Aesthetix Io was a long time gone for repair. But when the Aesthetix came back, the reaction over here was just WOW. So if the ASR pumps less, it is maybe because it is more anemic or polite. The Aesthetix is known for its explosive dynamics and it goes down real deep. I will check.
All in all, I am learning to live with the problem...enjoying the music, but also, not giving up, the mystery will be solved. Music mainly sounds great. There are no “obvious” signs of rumble. I have a suspicion that the subsonic pumping I see between tracks has a negative effect on the music, but I don’t know this. If it had been really bad I would have preferred playing digital, but I don’t.
A final observation. The pumping is more visible in the right than in the left channel (in my home system, at least – not sure about the cottage system). No idea why.