Gullibell - agreed, in fact it is the anticipation of that swing into alignment that is the difficult thing to teach, if you wait until it swings before you land it is already too late. The control inputs are very subtle and each knot of speed and each degree of collective are very important.
Also, unless you have done a low speed (breakaway) handling check, 80Kts might still be too slow for the initial stages of the approach.
A crosswind from the 'lucky' side will help enormously.
At the start of the approach, I teach my students to look at how far out of alignment the nose is from the runway - the further away it is the slower the speed for the run on will be.
If at the start you are already aligned with the runway then you are already at your absolute minimum speed for the approach and need to be very careful not to let 'ground-rush' make you wash speed off in the descent.