Thank you to all for your most helpful inputs.
First thing I did on my just-received PeakTech 4250 was to check its output ripple.
Sure enough, there was this 550Hz ripple. Since the only cap I had on hand which would fit into the available space was a 1000uF/6V3, I did not want to add this across U5 input in order to not expose D4 to the resulting switch-on inrush current peak. Instead, I soldered it in parallel to D4, since I thought that this negative supply could well benefit from additional bypassing anyway. I soldered its (+) lead into the thru-hole of C7 (-) mounting position, and its (-) lead to D4 Vb- pad.
After that, the ripple was gone.
I also replaced the coiled output cable with its non-retracting banana plugs with a coaxial BNC cable of the same diameter (which I took from a defective pH probe). This made the broadband output noise amplitude a little less sensitive to handling and also reduced stray signal pickup.
I added some red-marking to the schematic diagram which was posted by mqsaharan (Jul 07, 2020) to show differences I found on my probe, and the added capacitor. The PCB in my probe is Rev.E; there has been some relayout around the ZERO switch SW1, apparently to accommodate a switch with a different footprint, relative to the Rev.D PCB which is shown in above posts.
I attach the scanned schematic drawing. It includes the measured current consumption (9.6mA) and the measured Vb- voltage.
I also checked the squarewave response using a 50mA peak, 10kHz signal, and the zero stability of about +/-3mA during 10 minutes (Plots attached).
Overall, I am quite happy with this current probe.