Sticking his tongue out in apparent exhaustion, it was a strong signal that Froome has reached his limit after winning the last three Grand Tours - the Tour and Spanish Vuelta previous year and the Giro d'Italia in May. With that in mind, Thomas even pushed for a four-second time bonus allocated to the rider taking third place in the stage.
The pressure of leading has reminded Thomas of the time he helped Britain to the gold medal in team pursuit on the track at the 2012 London Olympics. I regret that people doubt my performance as I know I'm not the best in the mountains but I work hard to make sure I get through them.
Unlike grand tour contenders that rely on climbing talents, such as Fabio Aru (UAE Team Emirates), Nairo Quintana (Movistar), or Romain Bardet (Ag2r La Mondiale), Dumoulin's strength lies in the time trials.
"It's going to be a tough day tomorrow".
Brailsford took aim at spectators who have jostled and spat at his riders during the race when he said on Monday that it does not happen at other races and was uniquely French.
But the descent prompted a dash to the finish and Roglic moved again, the former ski jumper this time getting clear to take victory and leapfrog Froome in the standings.
In between the two British riders is Sunweb's Tom Dumoulin, who trails Thomas by a minute and 59 seconds, after he tried and failed to break the Welshman on the final five kilometres of a short but savage 65km stage.
But after Cavendish missed the time cut on stage 11 of this year's race - one of several sprinters to depart in the mountains - he will now line up with Dimension Data in London.
"I had legs today, " Roglic said. It was the 70th time the Tour passed through Pau, which first hosted the race in 1930.
Roglic leapfrogged Froome into third spot overall, 2:24 off the pace, while the defending champion now trails by 2:37.
Majka crested the col d'Aubisque first but was brought back by the yellow jersey group with 19km to go.
The incident comes two days after the Tour, cycling's most prestigious race, was temporarily halted by protesters and riders were inadvertently tear-gassed.
Fernando Gaviria and Dylan Groenewegen, who both won two stages on this Tour, along with Andre Greipel all abandoned the race last week, while 30-stage victor Mark Cavendish and Marcel Kittel failed to make a time cut in the Alps.
"It's fantastic. I'm really happy", added Alaphilippe, who also had some kind words for teammate Philippe Gilbert.
When the road allowed, he crouched down on to his bike frame in a risky aerodynamic move known as "super tucking".
Whatever path Stage 19 ultimately takes, though, the victor will be the cyclist that best manages the descent of the Aubisque into Laruns. "Of course, Thomas ... doesn't look like he's going to crack, but we need to approach this day like a proper hard day and don't think that it is won".
"It hurt me enormously", Demare said.