I can't remember hearing Bloodwood do Waltzing Matilda - but the odds are pretty high that the alternative tune they use would be the "Queensland" or "Buderim" version ... that was very widely used by Australian 'Folk revival' groups from the '60s onwards (like Bloodwood!). Very few performers - certainly in the commercial end of things - have recorded Christina's original (Denis O'Keefe certainly has ... although I question the accuracy of his third line to the refrain!).
If you follow the DigiTrad link (above) to Waltzing Matilda, you will find a further link to playable MIDIs of all three tunes. It is a lot easier for you to listen to them than for me to try and describe a tune verbally!