Bayliss was hired as England coach because of his outstanding pedigree in white ball cricket - with Sri Lanka, who he led to the World Cup final; with the Sydney Sixers, who he led to the Big Bash and the Champions League; and with Kolkata Knight Riders, who he led to two Indian Premier League titles.
"The laissez-faire approach of England coach Trevor Bayliss has spelled disaster in Australia", headlined the Daily Telegraph, which added: "Bayliss presided over a walloping that would bring the guillotine rolling through the streets in other big team sports".
"There's so much cricket now it is hard to be playing in all formats", said Bayliss.
"Probably five or six positions in the squad will be discussed".
Even after the 2015 Ashes series England lost the series 3-2, but that was quite close.
Tom Curran enjoyed himself with a flurry of boundaries but Josh Hazlewood had James Anderson caught behind as Australia's dominance resulted in a 4-0 truimph. Wood, meanwhile, would have been present for the Test leg in Australia had he been considered fit and robust enough for the challenge.
Bayliss, 55, has come in for criticism following the Ashes defeat, which leaves his Test record as England coach standing at: Played 38, Won 15, Drawn 5, Lost 18.
But he too will stay in the Test squad after a short rest - along with wicketkeeper-batsman Jonny Bairstow - during the Twenty20 Tri-series which falls between one-day worldwide assignments in Australia and New Zealand over the next two months. Both incidents occurred in the same Perth bar.
Former England captain Michael Vaughan posted to Instagram, critiquing the props for being far from humble.
He has since seen an improvement, but still believes the furore around the off-field problems created one of the most hard tours of his career. "It's probably a little bit technical but a lot of it is the mental side of it, knowing which balls to leave and when to attack and when not to". Going forward I don't foresee any problems there.
"He's shown some decent starts, he's showing some glimpses, and we all think "crikey, this could be the innings".
However, despite his side losing the urn to the Aussies, Vince believes the English public have a better understanding of how to celebrate success.
Is it time for England to have split Test and one-day coaches?
He is now with England's limited-overs squad as they look to exact a measure of revenge for the Ashes.
"That could be a risk", he said. "If we're not as successful as we'd like to be because we're blooding some young players, we have to take that on the chin".
"Things happen and you move on and they become history and forgotten about". That would be the best scenario.
England's squad for their next Test tour was meant to be named on Wednesday, but Joe Root's illness meant that was postponed. You might blood a young fast bowler in South Africa, or a young spinner in the subcontinent.