It took a bit of getting used to, but I am able to jump shoot chucker and forest grouse with my combo guns with scopes of various powers installed. The trick is getting so you ignore the scope and shoot with both eyes in earnest. I never look through the scope when shooting flying birds; just look at the bird and shoot as you would without any scope in the way...it works and has improved my scattergunning so as my hunting buddies could tell the improvement. It will force you to use both eyes and concentrate better. Straight away shots are my biggest problem. Sometimes I have to guess and blast...

Since I like lower powered scopes with smaller bells any way, I don't have monster scopes in the way, just nice trim scopes like your great Loopy 1X4

or even a 2X7, the biggest I use on combo guns. My German scopes are from 2 1/2 to a max of 4 power on all but one drilling.

I am ignorant as to bird shooting in OZ, but it would seem that you have good populations of pigeons and doves to practice on.