I would like to add a point at the intersection of a centerline and a curve in sketching. This should be simple but why can't I get this. I tried all the snap option but still can't get it to snap at the exact intersection. The only way I was able to do this was to split the entities and then I get a point. There has to be a better way.

It's a true intersection. I can drag the point and the sketch elements move with it.

I just did some more tests, and the intersection is recognised with all combinations of lines, arcs, curves, splines, elipses and even parabolas.

BTW, I'm using SW12-SP2.