I don't have experience with TouchSence it self, but i know something about search and stuff.
It look like on the video with 3D search you didn't tilted the part but you twisted it. And as i say I don't know a TouchSense, however I think it won't work in that case. it's basic adjusting the base not the path it self so you can tilt it in two or more directions but it must be in the same plane as before . Graphic way to show what i say: From "_ " you can do" \ "or" / "but not" ~ " And second of all i think that you should have a tool defined on the point where the laser sensor is turning on ,this is why other guys told you to use the tip of the wire, or try to keep perfectly the same orientation (A,B,C) in all measurement points.