Oil leached out from a passage onto surrounding underpainting

First, why wipe an acrylic dispersion underpainting down with Turp or OMS? Any residual components that you may want to remove would not be soluble in those solvents as they tend to be aqueous soluble. Second, why are you “wiping”? Unless the painting (acrylic or oil) has been left dormant for some time, I do not understand the reasoning for this. If the paint is still sensitive to solvents (young oil paint and read above about acrylic dispersion paints) you are disturbing the paint film, not making it more receptive to additional layers. Third, I think that you are worrying too much about fat over lean and are overcompensating. It is not essential that every layer be EXACTLY at the precise level of fatness.
There is essentially no way to practically do this anyway. As long as a slightly less bound layer of paint is going to be covered with a more appropriately bound or even slightly more substantially bound layer of paint, do not oil out. Please read through the threads about pigment vehicle concentration (PVC) here and on other useful sites like Golden Artists Colors and Natural Pigments.
I have no idea what “oil was leaching out in a ring” could possibly mean. Do you mean that there is absorption into the canvas? I would think not considering the amount of medium you add. Do you mean that there is a sort of crawling ring that radiates from the area? I find phenomena like that occur when the preceeding layer of paint is way too fat.
As above, try to avoid the practice of oiling out so much. Please read our sections on oiling out in our “resources section”. Here is the truth of the matter, painters who just paint and do not micro-manage/obsess about tiny differences of “fat over lean” AND who do not add large amounts of fatty mediums to their paint are less likely to have these issues. This is not to say that it is not appropriate to logically think about layering. It is just that it appears that many painters (especially those that poured over R. Mayer’s tomes) seem to think that they need to add an over abundance of fatty media to each layer.
As to your pictures. I cannot really get a visual sense of what you are describing in prose. What I see are regions of very glossy paint layers sitting next to passages that are far less glossy/more lean. I cannot tell exactly from the images, but PERHAPS there is a transition where the oil from the fat paint saturates the perimeter of the more lean paint, saturating the color. This may not be true, I am stretching here.
As to how to proceed. I am unfortunately unable to completely identify either the problem, nor come up with a definable mechanism for the defect. This is really not something that is well suited to diagnose via photos. MITRA was not really intended as a place to send photos of painting defects where we could give simple remedial answers. It is not that we refuse such posts, it I just that this is difficult to do from a distance.
As to finishing the work, If you had been painting with paint neat from the tube and adding no or only tiny portions of additional media to subsequent layers, it would be simple to either just paint over with neat paint or add a tiny bit of addition medium for completion. This is, of course, overly simplistic, paintings are very often much more complicated than this. The issue that you are dealing with is that you have dealt with various areas of the work in such very different manners, and various sections have such different levels of gloss and absorption that you have set yourself up for complications.
However, this is not surmountable. First, stop wiping, this does nothing good. Second, finish the works in a relatively simple manner. If you need to fatten a paint layer add an amount of alkyd medium in the appropriate amount but without too much additional solvent AND do the manipulation using the brush and not the spreading effects of solvents. Because you are not adding solvents or only minimally you can use far less medium and there is less of a chance for any spreading.
I have to admit that I have only a basic understanding of the issue that you describe since your images were not sufficient to show me the exact problem. It is, therefore, possible that my interpretation is not on point.
Best

Thanks for the clarification. I hate to write this but I am just not sure that I can help explain the phenomenon via a screen. You are probably doing what you can be wiping away and superfluous oil before it sets. Beyond that I am not sure what I can write. It does sound anomalous given what you write and the fact that you have not encountered this before despite having used the same technique. Is there any chance that acrylic dispersion ground is of a poor quality and is repelling the paint/oil? This seems a stretch, but there are very poor quality pre-primed canvases that are inimical  to paint application. It is also super unlikely because such cheap grounds would be very unlikely to have been applied to a linen canvas. Sort of plating over gold with copper. I am stretching but I cannot think of anything else given what you have told us and viewing the images.