You have a different amount of edges on the larger object with the hole cut-out than the smaller feature that you are trying to blend to.
If you click around the rounded portion of the cutout on the larger object you will see a straight piece in there as well. When you select the corresponding edge on the smaller part you have a full curve without the straight section.
There are a few ways to tackle this. One would probably involve copying the edges and rebuilding the rounded portions so the point counts are the same.
However, what I did that seemed to work out ok is I selected the top edge on the smaller feature and the top edge on the opening (just the single edge on both) and applied the blend. Then I selected the round edge on the smaller object and JUST the rounded portion of the cutout on the larger object and blended those. What was left was a hole made of of three edges that I then selected the three open edges and used the network feature and filled in the opening.
I then joined all the surfaces together and the result stated that I had a solid. I am not sure if that will give you the surface that you want but that is what I did to try to blend them together.
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