For me I think that the AA Pro Elite showed HW how their HW80 could have been built better. It's a better engineered gun. I do get pleasure from owning one in each calibre but they get used only just occasionally.
So in contrast as for my "go to" break barrel in my collection I'd have to say that this would be an Original 45 or perhaps the Diana 45 version. I almost exclusively shoot grey squirrel these days and these accomplish the task with aplomb.
Having used a more modern Diana 280k for the same task on a few occasions I could as readily grab that from the rack. It's a tad lighter, handles and points a little better, but surprisingly gives a not altogether different firing cycle to the 45. Both being quite a quick sharp nudge in the shoulder with the shot away downrange....
Dave