Steven Gerrard declared the game the greatest league performance of his Liverpool career.
"As explosive as it gets," he said. "Definitely in the top three performances I have been involved in. I am trying to think back to a performance - especially in the first half - that I can remember in the last 15 years. We have absolutely demolished a top team from start to finish."
Gerrard is less inclined to agree that Liverpool will not win the title but, for what it is worth, Rodgers is right. Chelsea and Manchester City are too strong for now and Anfield sobriety is desirable, even on afternoons of intoxicating brilliance.
Qualification into the Champions League, retaining Suarez and building around the youthful verve of Raheem Sterling, Coutinho, Jordan Henderson and the rapidly improving Jon Flanagan will do for now.
A flaw of Liverpool in the 24 years since their last league title has been the vast gulf between self-image and the perception of everyone else.
Too often club employees have acclaimed Liverpool's magnificence in one breath while emphasising how humble they are in the next.
Liverpool never had to say how marvellous they were in the past. They just were. Everyone else could pen the eulogies.
What was thrilling about the obliteration of Arsenal on Sunday was it summoned memories of football perfection of the Anfield kind. It was incisive, destructive and relentless.
No sooner were spectators recovering their perspective after one dumbfounding piece of skill, they were applauding the next. This was Arsenal being humiliated, not some tinpot, raggle-taggle outfit - a team admired for their brand of football more than any of Liverpool's rivals.
A minute before halftime, with Liverpool already 4-0 up courtesy of Martin Skrtel's double, Sterling and Sturridge, applause broke out. The standing ovation accompanied Liverpool's players to the tunnel.
Rodgers has often been accused of struggling with the Anfield contradiction of balancing grandiose expectations with expressions of what is really attainable. Now he is fighting a losing battle to stop others announcing Liverpool's title credentials. So be it.
Although Shankly is the Kop sage quoted more than others, it is the wise words of a former chairman, John Smith, that are too often overlooked. "We don't talk at Liverpool. We just win," Smith once said with a nod to the annual proclamations from rivals.
For too long, when a Liverpool player or manager sets a title target, there has been an uneasy pause and shuffling at the back of the room.
This time the roles were reversed. Others left Anfield suggesting the Liverpool manager was deluded if he thinks his side cannot become champions. As a symbol of how rapidly Rodgers is shifting perceptions of his club, it does not get more telling than that. Telegraph Group Ltd
