My understanding is that that number is an in-loop evaluation of the loop so far (as the first step of the loop evaluation).
This is not what we can directly compare with the number in the paper.
Basically the entry 8741 is telling us that the new filter suppresses the error signal better than before.
That's clearly shown in the attachment 2.
RMS is now less than 1 kHz or ~50 pm. (in your face, Kiwamu!)
Isn't this still a factor of 2 away from the limit in the paper?