The Ortofon 2M series of cartridges have a metal screw on top that is there to ground the cartridge to the arm. In practice, this causes more problems than it solves. You can try not using the arm's ground wire, which might eliminate the ground loop. If that doesn't solve the issue, you can put an insulator between the top of the cartridge and the arm, or replace the cartridge. Both of these will require the skills to mount a cartridge.
Wooshing sound is probably tube rush. Are you testing at higher than normal listening levels? If not, try another set of tubes.
Yes, the "whoosh" is with the volume turned up pretty high; I don't hear it normally at all, and it's only with the shorting plugs on the Seduction.
Removing the TT ground wire spade from the Seduction ground screw doesn't affect the hum.
Through the headshell, I think I can see the hole in the top of the Ortofon cartridge that must be intended to receive the grounding screw you mentioned. The SOTA factory mounted the cartridge for me when I sent the TT back to the factory for a refurb a couple of years ago. It seems they didn't use the ground screw, just the two mounting screws on top.
I can also double confirm that it's not the Seduction because a local dealer was nice enough to lend me a cheap little NAD PP 2 phono pre for testing, and the hum's still there with the NAD installed.