I'm not sure, but it seems likely that the bow you describe is not cut past center, or possibly is not even cut to center. This type of bow requires a weaker arrow than one cut past center. I am waking up to the possibility that much of my life I have been ignoring false weak when tuning, and now am careful to be sure that any weak indication I get is a true weak before going any further. For example, in your case I probably would have started with a 30” shaft, where I would be sure to get a true weak indication, and tune to what I wanted from there. Like you, I have had situations where the bare shaft has given similar results with a wide range of point weights, and the best explanation of this is false weak. However, I have also found that when dealing with heavy point weights, say more than 150 grains, increasing point weight seems to not have much effect on tuning, whereas cutting the shaft length does.
As you can see in this example, this recurve that you would think would be cut past center really isn't. Evidently the thickness of the strike plate is enough that the entire arrow shaft is lying outside of the centerline of the bow, so it has to be tuned much the same as a longbow that is not cut past center.