Developer pH is nearly always 10.0 to 10.15 unless it's some horribly off-standard chemistry. I did measure the bonavolta chemistry the other day and as I recall it was significantly higher.
For more info, I recently summarized it here:
https://tinker.koraks.nl/photograph...lor-developer-formulas-including-c41-and-ra4/
It indicates pH for some DIY developers, including a Kodak developer that should be very close to the Kodak standard.
For Fuji, it's very well documented, but the documentation is sometimes hard to find. You may very well be right in that Kodak doesn't offer much useful information on developer pH for all their products.
I think maybe use a ph pen to check if the ph correct to see if the replenishment is enough is better
To an extent, yes. I don't think it's bullet proof, especially with C41, because not all under-replenishment will show up as pH drift. In other words: even if the pH still checks out OK, you may be under (or over_ replenishing.