University prestige matters to some extent.
It would be unlikely a person from a community college can get a top job in a law firm in the US. Similarly, a degree from UWS won't make you as 'attractive' as one from USYD in a highly coveted job given that the degree and grades are similar. If by an awesome degree you mean 'Combined Law' at UWS vs 'Liberal Arts' at USYD, the degree from UWS would be much more valuable than that of USYD. If you mean UWS 'Combined Law' v USYD 'Commerce', I would seriously give thought in what I want to do with my degree. If you wish to practice Law, it would be easier to do it at UWS than to try transfer in USYD. You would need good grades to transfer - and that is not an easy feat (unless you pick dead-easy courses).