I don't think it particularly matters. You do realise that getting taught at those schools isn't that much of a rarity. Look at the number of graduates.
I think it's more of an achievement when your lecturers studied at Wollongong University, have highly redefined Industrial relations, written many research papers on unionism, have a well-recognised name.... etc etc
Or studied at Reading Uni at England (not the best known), has offered a dynamic critique of economics. Published countless of books and papers. Started up a brand new subject in select Aussie universities etc etc (Political economy)
Or who knows, maybe your lecturer studied at UTS and had a slow start to his life, but then started getting jobs in the best marketing companies all around the world. He travelled the world saving many organisations from the brink of bankrupcy; repositioned the image of others increasing profit.
I don't know what's more important to some, getting taught at a university considered 'one of the best in the world', or actually doing something with your degree and achieving a quality level of teaching.