On an outbound track of 145, on a heading of 165, offsetting 20 degrees of drift, my instructor says: "You'll notice the needle (which at this stage is 20 degrees right) will tend to fall towards the tail (swing towards 180) the further outbound you are".
Well then, that's easy. In the artificial world of a simulator set to "easy" (!!), your instructor was wrong. As you were in fact measurably and precisely on track, the needle would not have moved.
The rest of us were talking real world... But I appreciate you have to get the basics right first, before tackling real world vagaries.