He was fined a year ago after walking off the court during his first-round match.
But a sloppy service game down 4-5 cost Kyrgios the set and he unravelled from there amidst a stretch of five lost games.
The Swiss three-time major victor and former world number three, a wildcard in this tournament, was beaten 4-6 6-4 6-3 by 13th seed Borna Coric.
Dumusois told Kyrgios a point in the second set was "really borderline", appearing to suggest a lack of effort.
It is the third time in as many Shanghai appearances that Kyrgios has departed the Masters 1000 event under a cloud.More news: Apple Watch Series 4 crashing and rebooting due to DST bug
The 33-year-old Swiss star, who has had injury problems, was defeated by 13th seed Borna Coric.
"And only through understanding work ethic and scheduling and whatever it might be, creating the right team around himself, only then can you unlock the potential really".
The talented but temperamental Kyrgios, who is ranked 38th in the world, has a chequered history with Shanghai.
"Nick - last point was really borderline", Dumusois said after the world no.104 aced Kyrgios to make it 2-1 in the second set.
Federer, who admitted that the hard graft did not necessarily come naturally to him either, backed Kyrgios to "win bigger tournaments and do all these things".More news: Japanese Passport Tops 2018 Visa-Free Travel Index
Shanghai is not the only scene of a Kyrgios controversy. "He needs to do like any other player needs to go through in order to be successful".
The Swede climbing down from his chair in NY to have a lengthy chat with Kyrgios when he was showing little effort as he trailed by a set and 3-0 down against Pierre-Hugues Herbert.
Kyrgios reacted by saying "I don't care" and told Dumusois "you have no right to tell me that it's poor".
"When he has to go somewhere and that isn't the case, we see him a little jaded and we see him play the way that he did".
"I think with Nick when he's fresh he plays great and it's about managing schedules as much as anything, so that he plays no more than three weeks in row and then he gets away from it", Woodbridge said at the launch for next year's Australian Open.More news: Steelers’ WR Antonio Brown Reported $80K, Gun Stolen From Florida Apartment
Lahyani was suspended from his next two scheduled tournaments after trying to encourage Kyrgios during a match at the US Open.