Aaron Finch earlier scored his ninth one-day global century, combining with Mitch Marsh (50) for a 118-run partnership as the hosts reached 8-304 from their 50 overs.
Those qualities are not the only pre-requisites for success in Test cricket, of course, but Bayliss - along with assistant coach Paul Farbrace and captain Eoin Morgan - have turned England into a formidable white-ball unit.
As such, the next month provides a flawless test for a touring side with designs on the silverware - something Morgan makes no secret of harbouring.
After a one-sided Test series, the arch-rivals locked horns in the first One Day International at the Melbourne Cricket Ground. To be in that space you need to be setting or bucking trends or being able to adapt.
When asked what needed to improve, Root replied: "Batting for long periods of time, finding ways of taking wickets when it's not necessarily going for us. Also the best way to address it is to be on the front foot".
For Bayliss's sake - and that of the European Central Bank - one must hope that they do.
One thing they do have in their favour is a relatively settled unit.
One luxury afforded to Morgan is clarity on Ben Stokes.
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England seamer Liam Plunkett took 3-71 in 10 overs while leg-spinner Adil Rashid recorded 2-73 in 10 overs. Jake Ball, Sam Billings, Dawid Malan, Tom Curran and David Willey have been left out.
"It is great to see Woody back (from injury)".
"That tournament had quite a significant role for us, really", he said. You have to make sure that they make you a stronger character and go the other way. "I think the lads have been and will continue to be smarter, because it will not be tolerated any more from higher up".
Aaron Finch may have given early notice of what was to come by thumping a pair of boundaries off Chris Woakes in the first over, but Wood was all over Warner from the off.
Set an imposing 305 to win, the visitors chased down their target with seven balls to spare after Roy blazed his way to the highest ODI score by an England batsman. "It is how you stem the flow".
Jonny Bairstow (14) and Alex Hales (four) were the men to fall, with Joe Root partnering Roy on 21no. While cleared of any wrongdoing by police for his part in the Bristol incident, his suspension allowed Jason Roy to return as opener in England's XI against West Indies.
Police clarified that Hales would not be facing charges in December and, though an internal disciplinary investigation is pending, that will not stand in the way of his selection for now.
"We had that discussion a few days ago, I suggested to him that he shouldn't play, that he should have a break", Bayliss was quoted as saying by British media on Tuesday.