Well first of all can I say you will definately notice the differences nathj. They are different A/C in many ways.
The issue really boils down to how comfortable you are developing the right primacies in your flying with good instruction on both sides.No doubt the differences in a/c types and the way they behave is as diverse as the models currently available in oz. You will need to adapt to these differences easily to keep your training progressing at the appropriate rate for you.
A pioneer, jabiru, tecnam, texan, foxbat, cessna, drifter will all have different nose references for attitude, different roll and adverse characteristics, different sensitivities, cockpit layouts etc etc- experienced pilots with well developed primary skills develop good aircraft feel and can adapt to most different types quickly- not so easy for low hour students.
Neccesity is the mother of invention so go with what you have available- different airtime is better than less, and eventually it will develop you to be a better pilot. But hopefully your instructors will provide feedback if they sense that your development is being adversely affected.
Remember finally, REAL experience is not doing the same thing a million times, it really is doing many different things in many different situations, many times that will make you a better pilot. Good luck with your training!