Carefully consider the PointOnLineOverlayer -- it feels like it will do what you want.Chopper is definitely not going to help -- it just works on one feature at a time,independent of any context.
Maybe try the intersector transformer Instead if your second dataset intersects where you want to chop the line
Hi,
To be able to do that a relationship is necessary so that the point information can be transferred to the lines and be used by the chopper.