Thank you all for helping with information.
I need to reread now to rethink a lot of new so would start from the easy part.
1. My electrode used is this one:
https://www.hannainstruments.co.uk/multiparameter-probe-with-ph-conductivity-and-temperature.html
I am not well educated about its type (would read after this post few "how to.. pH electrodes" to understand myself).
But I think now it was too optimistic from my side to expect that this electrode would measure much better than "Ezodo\no name" one
("
Recommended Use General purpose, water treatment, agriculture, boilers, cooling towers").
Actually, it does better as drift not so fast and has some point of drift slowing down that I used to count as "that is right".
I would check if I could find something better for my already bought Hanna device.
2. To tell the true - measuring Ph of RA4 \ C41 developer made me so neurotic that I started to investigate other ways.
Buying ra4 strips is expensive and hard here (if they are still produced as I bought the last ones by FujiHunt about 6 years ago).
Making own test strips for C41 looked like a good idea for me but I lack experience and some brain for that yet.
I have found this article on the web:
https://inis.iaea.org/collection/NCLCollectionStore/_Public/47/111/47111913.pdf
And local closing wet plate printing production was selling used Hanna 8733-HI 76302W conductometer:
with a range up to 199 mS.
They told that used developers with pH more than 11 so my developers we not a problem for its range.
My fellow chemist told me that it would not work well for fine control of the developer state (once a day at least) due to a non-linear relation between conductivity and developer oxidation/concentration/exhaustion.
I did risk 200 USD for device and after 2 months of using it, I miss all the year without it. Conductivity for the C41 developer in the machine reacts very rapidly to minimal shifts in the process.
If everything (and everybody) is working fine I get a shift in conductivity from 69.9 to 70.1 over a week-two period.
Now when there is a drop over the day of more than 0.2-0.3 - I go and find that water replenishment is wrong or pump output, or some guy mixed new developer replenisher that should be rechecked itself.
Measuring conductivity is pleasure and confidence compared to PH (easy calibration that lasts for...moth at least) and you could measure developer 10 times in a row in the tank and get the same result.
But at least every week I wish to measure PH to be sure I do not miss the point of my conductometer play me off.
And that is why I ask for help.
3. When I take my electrode in the morning and calibrate and then put it into developer it starts to drift.
After that help only letting it to stay for some time (usually it is till the next day) in KCl keeping solution.
Sometimes electrodes feel so bad that It needs a few days to recover to a normal state
(not normal is when the time to stabilize in a developer is more than time to shift to some irrational values (like I expect to see 10.35 but already see 10.19 and it is still dropping down).
So probably answer is really
"can't tolerate Silver ions because it will precipitate AgCl in the membrane".
I think to prove it should check how quick it "dies" in fix? (to tell the truth I do not like to measure fix/bleach more often than once in few weeks).
4. Fuji gives PH references for 25C. I was told in school that PH is dropping with temperature as a result of matter expansion (with the concentration of its compounds per volume).
So it looked to me that this effect is more or less the same for the different "water" solutions.
As I understand from the mood of some answer it is not that "less" than "more'.
What is really weird - when I tried on practice to remove ATC function on ph meter and measure 20 or 25C developer I never could get digits as in the manual.
But ATC + measuring in the warmed tank showed me something about 10.25 or 10.03.
That is why I did it that way for long years.
I think I need to measure the PH of the developer with 5C steps from 20 to 40 and compare with 10.01 buffer. If the difference would not be tragic - maybe that is why it worked.
Might be PH-abo effect also.
5. Thanks for the advising
"pH Measurement of Photographic Processing Solutions."
I would read that manual from Kodak after reading general info about electrode types (it was surprising to me that they do not only differ by good-bad-cheap-expensive type
.