Update ...
This is the setup with the newpaper in the settling barrel ...

Six tabloid size bits altogether, two clipped to the side of the barrel and four threaded onto a piece of wire hung across the barrel.
After 24 hrs there was no noticeable difference, so I decided to bubble in order to get a bit of movement within the barrel.
This is the result after another 24 hrs ...

I don't believe this to be soap. It doesn't feel at all soapy (when I get a chance I'll run a soap test to confirm) I suspect it's the "cloudiness" being coagulating and being brought to the surface.
To further reinforce this coagulating idea I skimmed the throth of the surface and sank the balance to leave the surface clear. I then shook the paper up and down and this was the result ...

Looks like quite large lumps of "stuff", even visible in the photo. I'll give it another 24hr to settle and post again.