Interplay is the effect of both channels playing a certain pattern that is different from left to right. This will have an effect on the measurement and an effect on the component being measured. Certainly there will be an effect on the component because the power subsystem will be delivering different transient currents to the left and the right channels at the same moment. If this effect can degrade the waveform of either channel, then this would be detected in the measurement system if it were looking for this effect synchronously in both channels.
Here are examples:
If you are only playing a stimulus track through one channel, this is not sufficient. If you are playing the same track through both channels, this is not sufficient. If you are playing different track through left and right channels, but you are only looking at one channel at a time for degradation in the waveform, you may miss degradation in the other channel. This is a lot like intermodulation distortion, but the stimulus and the measurement process must be designed to look for this.
Here a somewhat related measurement with the RME Adi-2 Pro FS. I applied a current pulse by shorting the Headphones(3/4) output of the device while it reproduces a short full-scale peak. The short duration of the pulse (actually a doublet to exite both rails) doesn't trigger the overcurrent sensing, hence almost the full short-circuit current of 3 OPA1688's is produced, about 0.5A(!) total.
I measured the feed-through from this to the main output(1/2) (which is feed from a seperate AK4490, so this isn't normal channel crosstalk) while it is outputting -6dBFS DC (the Adi-2 Pro can output DC) which is blocked by coupling input cap of the ADC. ADC runs with 20dB gain so it's influence should be minimal. Heavy block averaging was used to dig down in the noise (~40dB reduction). Because the symptom is strictly signal-correlated there is no loss of information by the block averaging.
The error from this rather exteme (completely unrealistic in normal use) shock-exiting the supply rails only amounts to about +-6 LSB's ref. DAC output range (not visible in the non-averaged waveform, still below noise floor).
This is a most excellent result. I don't see any chance that the crosstalk you're talking about is any significant, given the low currents. I might try what you suggest, testing L/R channels, with even more noise reduction (50...60dB can be achieved which is equivalent to 28...30 bit equivalent resolution, it just takes some very significant measurement time) but I don't expect to find anything....