Australia can't win the Ashes in England nor beat India away, but they have rarely been more dominant at home.
Hometown bullies who have not lost a Test here for three years, the disparity over Australia's home-and-away record is set to be underlined in the remaining two Tests against a West Indies team that may be one of the worst in Caribbean history.
Australia's victory over the tattered West Indies by an innings and 212 runs at Bellerive Oval came on the back of several outstanding individual performances.
Adam Voges now owns the highest score by any West Australian after his 269 not out took his Test record to 922 runs at 76.83. Don Bradman heads the list of just four players with a better record after 11 Tests.
Shaun Marsh knocked up 182 and batted with the fluency of a man with 100 Tests under his belt.
Josh Hazlewood continued his emergence as one of the world's premier pacemen and James Pattinson had a glorious return with a five-wicket haul after a year's absence with stress fractures.
Yet bullying D-grade opponents low on talent, technique and temperament is a long way from beating the best on their home soil.
Australia have not won in India for 11 years and have lost their past seven Tests in that country.
And they have lost four consecutive Ashes series in England, with just three live match wins in 10 years.
Australian captain Steve Smith, who will be forced by knee and hip niggles to rest for the next two weeks but is adamant he will be fit for Boxing Day, suggested his team's ability to claim pivotal moments at home was the key to success.
"This was a clinical performance," Smith said.
"The game was in the balance and we were able to put on a big partnership that changed the course of the match.
"I think that's the same with any team you play.
"You've got to try and stick to your guns as much as possible and not worry too much about the opposition."