"I think I would have to have a bad day", Thomas said.
"The Tour is promoted as the world's greatest annual worldwide sporting event and if that's what you want to host and if you want the best riders in the world to come to your country to take part, then maybe treat them with a little more respect", he said.
With the Italian having been sent home in disgrace for throwing a punch at Fortuneo's Elie Gesbert, Rowe and the rest of the Team Sky squad will have to shoulder the responsibility of taking on the workload vacated by Moscon.
Meanwhile, Astana took full advantage of what was a transition stage as Nielsen was one of two teammates who fought hard to get in a breakaway group of 29 riders, along with Michael Valgren.
Sky riders have been targeted by boos and jeers on the Tour this year and defending champion Chris Froome was slapped on the shoulder by a fan during a stage this week.
Throughout the race, spectators have voiced their disapproval of the Team Sky rider.
In a statement, Brailsford said: 'Obviously Gianni has left the race, which is very disappointing.
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Although 218 km long and with four categorised climbs, none of the ascents on Tuesday's 16th stage are over nine kilometres long.
Thomas dutifully talked up Froome as leader even after claiming back-to-back mountain stage victories in La Rosiere and Alpe d'Huez earlier in the week, but by Saturday's stage to Mende he sounded like a man more confident in yellow.
Froome was more evasive when asked if he would attack Thomas if in a position to do so.
'It's disappointing, but there's nothing we can do, ' he said.
"We are at a point where a part of cycling's future is at stake", said Frenchman Romain Bardet, who rides for home team AG2R La Mondiale and is fifth in the overall standings.
Dumoulin acknowledges he finds himself in a unusual position as he waits to see how Froome will approach the final stages behind his team-mate, despite the Kenya-born Briton stating he will offer Thomas support.
"The Tour de France is promoted as the world's greatest annual sporting event".
Speaking of Froome's form peaking in the third week, Wiggins reasserted that '10 days into the Giro everyone thought Chris was going to climb off and go home.