Jet Jockey A4;
Regretably I haven't flown using a HUD so can't compare the experience. However, your observation makes sense because one is already "looking through" the information at the environment ahead.
I think on a approach where weather, airfield conditions, terrain, fatigue or aircraft limitations may place unusual demands on a crew, the monitored approach may be one way to conduct the manoeuvre. But it has to be a company's SOPs and trained for; deciding to do it at the last minute because it seems like a good idea then making it up as the approach unfolds is obviously not as good as following one's company's familiar and trained SOPs. It does require practise.
It sure worked well in the maritimes . . . ;-)
PJ2