England's batsmen suffered double ignominy - not only did they fail on the field but all of Root, Alex Hales, Bairstow and skipper Eoin Morgan went unsold in the megabucks auction.
Jason Roy ensured there would be no repeat of that horror show, taking a rare all-run four off the first ball at the new ground then flaying half-a-dozen boundaries and one muscular six off Mitchell Starc.
"It has been a tough few games but it was nice here to start well", said Cummins, the player of the match. "I feel like I can use the bouncer and it swung early".
Head and David Warner shared a record-breaking opening stand in the Australia Day clash past year and could resume that partnership exactly 12 months later on Friday.
Jake Ball, another of the quicks given a chance when England shuffled their pack for the final match, was hit by dizziness towards the end of the chase and Morgan was nearly left needing to hurriedly call on Joe Root with the match in the balance.
'A series win is going to be fantastic, 5-0 would be an wonderful feeling'. We were talking about it just before and that really hurts your team when your two senior players aren't scoring the runs that they need to be. "They are a settled side who have a lot of confidence and they think they can win from any position".
Jonny Bairstow, Joe Root and Jos Buttler soon followed him, all four were caught out for a duck.
Australia ODI squad: Steve Smith (c), David Warner (vc), Pat Cummins, Aaron Finch, Josh Hazlewood, Travis Head, Mitchell Marsh, Tim Paine, Jhye Richardson, Mitchell Starc, Marcus Stoinis, Andrew Tye, Cameron White, Adam Zampa. Ali then put on 51 with Woakes, who in turned added 60 with last-man-out Curran.
Joe Root (62) played a measured knock as he attempted to rally the lower-order but Tye's variations proved tough to handle and he would claim a maiden career ODI five-fer.
Australian ODI captain Steve Smith says Australia's 1-4 series loss to England was the result of batting lapses that must be addressed.
But Morgan, whose side will be hoping to finish on a high in Perth on Sunday, insists there is no going back. In total, 53,781 attended the first game and for a while it looked like three West Australians - Andrew Tye, Marcus Stoinis and Mitchell Marsh - would deliver the flawless opening night but Curran stole the show. "It was a tall ask to defend that total but Adil Rashid dragged us back into the game". To win while we're learning is extra special.