Very interesting and telling, in many ways.
Artem - first I'd like to thank you for being fair in your candor and examples. As much as you were disappointed in the ARX, it seems you are being realistic and open in your assessment of the Kreen as well. That, above all, it nice to see. I do realize that it's probably disappointing for you; you really want to find a product to clean the engine.
So, I have some comments that might be of interest to you and the general BITOG membership here.
First, seems that two reasonably respected products didn't clean very well. It is really improbable at this point to know if "more" would be "better" here. If the ARX or Kreen was tried for longer periods, would either help? Kind of hard to know. What is clear is that not all products work well in every application; probably not an unexpected statement.
Also, clearly the engine is simply prone to creating conditions that are harsh on oil. It is speculation at this point as to what lubes may or may not succede in this application, and for what OCI interval. As I've said many times before, any product (regardless of it's origin) can be over or under utilized.
Next, consider the following concept:
Don't think of what can clean up the previous sludge and varnish, but rather what might be able to prevent continuous development! Could either the ARX or the Kreen stop or significantly slow the onset of the phenomenon? That might be the target to aim at. In some manner, I agree that the engine is probably OK at this point, even with the unsightly deposits. So, could continued use of ARX or Kreen delay or stop more from occuring? It's possible. But just as it took many tens of thousands of miles for the sludge to develop, it might also take that kind of time exposure to see if you can significantly retard the problem. And it would take some really detailed photos (you seem to have that covered) for time-lapse comparison and contrast.
OK - this last one is going to be a bit long; please bear with me. I will also mention that it's oddly interesting that it seems deposits can form at some (what I would consider) bizare locations. In your very detailed nice pictures, you've identified a location that seems kind of weird to me. By that I mean this: the location of that heavy deposit is on a "wall" of the head where I would suspect heat is not greatly concentrated. Looking at it closely (unless I'm not seeing it correctly) it seems to me that specific spot is not being subjected to direct heat, and has the advantage of cooling from outside ambient air on the outer wall. And yet, there is heavy deposit forming at that very location. I would fully understand if that deposit were at a local "hot spot" where extreme heat were nearby, with little cooling aid. But that is not what I'm seeing. Kind of odd, is it not? So it makes me wonder if the coking/sludge is forming where the oil cannot get good heat transfer and it cooks a thin layer, but possibly succeedes where the oil layer is thicker. In some way, that makes sense, does it not? On that wall, the oil likely splashes up and drains off quickly, and the residual is quickly cooked? But in areas where the oil lays in a thicker barrier, the sludge is not as prominent? What it seems to indicate is that the heat may not be transfering as well right at that spot, and that spot is indeed "thicker" due to the threaded bolt hole in the wall adjacent to that coked area. So, my question is this: do you see other similar evidnece of thicker spots in the head casting wall where less ambient cooling (thicker material) also sees the coincidence of coking/sludge? Of the areas where coking is present, is there evidence of less ambient cooling and/or vertical surfaces where oil cannot "pool" to cool?
And lastly, it wonder if the onset of the coking is predicated on some self-imposed catalyst? IOW - will the sludge tend to form around itself, once a small portion begins? Does the presence of the sludge/coked material promote the continuance of formation in that localized area simply because of it's mere existence? I don't know that I have an opinion here; just an outward question for you to try and investigate.
Just food for thought.
Again - very nice to see such detailed pictures, and candor in the failure; thank you!