Any vertex connectivity maybe useful if all your data was planar. In that case you could maintain some longer roads without breaking them at every T intersection. Some data formats such as the the Open Street Map are built using this model. However, it is not a good choice for non-planar data such as highway intersections with ramps, underpass, overpass situations as Integrate will put a vertex on these overlapping and crossing lines and then the Any Vertex connectivity will connect them!
it is just another connecivity model and if data comes that way, we support it!