How to orient imported OBJ mesh to points and curves, or vise versa?

Images at the link show what I am trying to do. The 3D mesh I imported I am trying to use Orient Objects: 3 Point to check if the points and curves (Grouped) line up correctly. I am doing this in Perspective viewport. But every time I try it, the points and curves end up a few inches below. They don’t actually line up on top of each other properly.

The three green circles show the points I am using for the 3 references. Click on the image above to see all 4 images. The forum is only showing the first.

Do you have Project turned on? If so selected locations/points will be projected onto the Cplane.
image

No, Project is not selected.

Without a .3dm file with the geometry it is very difficult or impossible to determine the cause.