The other 1103 I have I believe is older, and is a little different internally. It has a different front panel PCB which is further from the transformer, and it's also in a different orientation which may make a difference in picking up stray EM fields from the transformer. I did not experiment with this unit as much, but the noise is clearly less severe.
older_1103_photo.jpg
older_1103_scope.png
I decided to do the "alternate ground" from the previous post on the older 1103. But this time, I did it as a permanent mod and with a very short wire. The factory ground was disconnected. The results were very good.
older_1103_with_ground_mod_photo_anno.jpg
older_1103_with_ground_mod_scope.png
Results were so good, I went back and did the permanent ground mod on the 1103 from the previous post. While there is still a little bit of noise, results were pretty good here too.
1103_with_ground_mod_photo_anno.jpg
1103_with_ground_mod_scope.png
The noise still remaining are the tiny spikes that were more prominent before, and are related to the crest of the incoming sine wave as the capacitors charge up each cycle. After swapping transformers between the two units, I found that the tiny spikes followed the transformer, which I didn't expect. The transformer manufacturer is different between the units.
All this was interesting and I had a chance to improve low signal performance of my two 1103 units. I don't think it's quite as perfect as remoting the transformer like you did, but I didn't really have a need to go that far. The ground mods were really easy.
EDIT: Fix minor typo.