I can't stop thinking about the 200 mV issue, especially since I still haven't received a response from Owon.
The ripple itself has a frequency of about 40 kHz—instead of struggling with the cursors, I did the obvious thing this time and ran an FFT....

You can see for yourself with the scope that the ripple is “real”—by using the FFT there.
You can also see how the peak disappears when you select a different vertical unit.
I know that the ripple is present when a relay switches—it essentially turns on the interference.
Using a Siglent oscilloscope and a probe set to AC coupling, I measured the op-amp whose output goes directly to the relay contact.
The interference is already present at its input (measured at the series resistor).
As is the case everywhere, it’s at the same point on every channel.
This input is fed by another op-amp, whose output supplies it.
However, this op-amp is on the other side and therefore cannot be actively measured....
Oh, I wish I could get more information from Owon.
But I doubt I’ll get any useful answers from them.
(Notes:
The power supplies for the OP are +5V and -4V; the “invisible” OP, on the other hand, is powered by +5V (the same 5V) and -5.3V... For whatever reason.)