Interesting theory, Marcel! However I suspect the effect to be minimal, if at all, when all the other equipment is running in good order. Also not sharing my opinion, but my observations.
I'm not quite sure what effect you're pointing to, I described rather a few...
Anyway... For the record,
the only theory in my story is that an electrical current flowing through the aquarium water might be a discomfort for your fish... There yet is no real proof for this, but them not showing it to you might be suspicious but also isn't a disproof. We simply do not know, but we know they have highly sensitive electroreceptive organs. If it's plausible or not that they might feel artificially added electrical current I leave in the grey area it still is in. My opinion or what I believe in this part I deem irrelevant and not worthy of a yes-no discussion. Just pick a side and have fun...
For the rest, the capacitive coupling from electrical equipment with the tank water is a technical fact. Tho it's not something with universal values different pumps and heaters and lights etc. have a different impact on the values you could measure and or have an effect on the Ph controller. You can take for granted that you don't have any capacitive coupling or simply measure it. 99% chance you have it because it's a technical aspect of electrical equipment in and around water or other conductive mediums. This is all replicable and measurable.
Some pH meters are susceptible to this capacitive coupling or electric charge in the water caused by this coupling and give faulty results if it flows back over the Ph probe... Already linked to a thread about it above. Measuring outside the tank is correct and measuring inside the tank is faulty.
I personally also experienced and observed my Milwaukee controller being very inaccurate and erratic and suddenly starting buzzing like mad without any obvious physical reasons. And I didn't seem to be alone in this and the Milwaukee controller is not alone in this. That was the trigger for me to start researching the cause...
BUZZING noise from JBJ solenoid (And this again is one of many threads about it.)
Not repeating myself, the cause is already described above. Which is not theoretical. Thus this is what you could expect using a pH controller in an aquarium with pumps, heaters and lights etc. and when you do experience it you need to tackle it. And my advice is better do not trust it out of the box from the start but make sure they are always spot on for the complete 6,8 or 10 hours, whatever period of light cycle they are used to controlling. Simply and for short always keep in control of your controller. If you think it's a laying back in the lazy chair foolproof device doing it all for you, then you might be in for a nasty surprise one day or another. Not experiencing any issues with particular combined devices is not something universally applicable to the rest of the world and all other devices combined out there.
So this is not a theoretical rant about or against pH controllers it's just some honest review, advice and information about Using a Ph Controller and potential issues you could run into.
Good luck...
Oh, btw back then I solved my Milwaukee problem by taking the probe out of the aquarium and putting it inline in the filter outlet in front of the lily pipe...
Here you can see it on the left side (Blue Probe) inline behind the aquarium.