Hello,
I had a similar issue last month with my out of warranty R3000.
I was asked to make some A3+ color prints from a friend photographer, we made some small proof and then decided to go with the Ilford Gold Fibre Silk (I still had 5 A3+ sheets of the pre-bankruptcy time, my last ones).
I never had issues with that paper in the past with my R3000, so I was confident to be able to carry out the task of the just 3 requested prints.
The first print come out perfect, but in the second print at one point I started to hear "that sound"...
The print came out with head scratches in the initial central zone, exactly as you explained.
I Double checked the paper for improper carving but this was not the case, at least from what I can assess.
I had other 3 consecutive sheets scratched in the exact same zone after this first one, in my tentative to understand what was wrong.
Looking inside the front tray during one print I noticed that something in the printer output path forced the sheet to make a slight "bump" in the center zone. This happened only in the first part of the print and this puzzled me. So in another tentative at that point (but it was still too late because the heads were already scratching) I tried to slightly lift the paper using an A4 box inside the output tray in order to see if it could help and, surprise, instantly the sound disappeared.
Damn, it was something wrong in the exit paper curvature, but this is strange because it was happening in the first part of the sheet and not in the second half, when a lot of sheet is already outside...
In the last sheet I tried to put two A4 paper boxes (stacked one above the other) full inside the output tray to ensure an absolutely crazy level of planarity for the paper output path and it worked good.
Unluckily I still had to switch to another paper for the job. So I bought an A3+ box of HM Photo Silk Baryta, I made a new full custom profile with Argyll. The appearance and the measured results were really good so I decided to go with this paper for the task.
I used the same settings for platen gap/thickness and the "two stacked A4 boxes" workaround: all went perfect without issues.
Now I always put the two A4 boxes in the output tray for every print I make.
I have the impression that sometimes maybe I hear a very very subtle quite inaudible suspicious noise, but the prints were always perfect.
I remember in the early days to have ended to throw in the garbage a full A3 box of HM Photo Rag Pearl (what a pain!) because it was simply impossible to get the heads not hitting the paper whatever the settings. In that case the paper was maybe somewhat curved and so I thought it was something related to this.
More recently I lost confidence even in the HM Photo Rag Baryta because even this paper sometimes made me bad jokes. Probably the cotton papers are more critical for planarity and leaving them for a while could make the thing even worse, I don't know.
Now I'm sure that the sheet planarity has a decisive role, but even the bad designed (at least in the R3000) output path, which allows an unavoidable slight weird bending in the paper by not sustaining it properly, is something to pay attention too.
Just my humble experience, I hope it could help.
Ciao
Andrea