The first occurred on a key climb of last Sunday's ninth stage to Chambery. "I'm very grateful for my teammates doing the work to help me". "I thought perhaps I wouldn't get back to the front". It was either that or not going over the climb with the favourites.
We don't see Yates cracking in the Alps, which means that, come Paris, he could make Tour history: the first time in the 41-year history of the competition that brothers have ever won the white jersey, let alone in back to back years (Simon's twin brother Adam won in 2016).
"Everybody was on their limit on the last two climbs". He lost in the 2014 and 2015 Wimbledon finals to Novak Djokovic - "Tough ones", Federer called them Sunday - and in the semifinals previous year after erasing match points to get past Cilic in a five-set quarterfinal.
"To mark history here at Wimbledon really means a lot to me just because of all of that, really", he said. They did so much for me.
In what effectively became a battle between the two strongest climbing teams on the 2017 Tour - Sky and AG2R - Nieve eventually dropped back exhausted.
With Bardet being a local hero, roadside fans revelled in Froome's situation and reportedly jeered the Briton as he gave chase.
"I had a problem with my rear wheel that had to be changed", Froome said.
"Crisis adverted? I think so, but I wouldn't say crisis".
However, it was not just Froome's "great escape" that drove the compelling narrative.
In Mollema's wake came a peloton in tatters.
BMC's Roche finished sixth as part of a group chasing down Mollema, who jumped away from the breakaway 31km from the finish to claim a solo victory ahead of Italian Diego Ulissi and Frenchman Tony Gallopin. Porte and Ireland's Dan Martin told him to slow down, which he eventually did, and Froome got back on the pace, not without a gesture of annoyance.
Froome was impressed. "He has ridden a very good race so far". Kittel still has a 79-point advantage (373 to 294) but it's narrowing.
Froome himself experienced similar frustration when he seemed stronger than his leader Bradley Wiggins at the 2011 Vuelta and in the mountains of the 2012 Tour de France, being similarly ordered by his team directors to slow the pace and wait for the yellow jersey.
He then rode hard from there to the finish, catching some riders from the early break and taking 14 seconds out of the other general classification contenders. Porte fractured a hip and a collarbone, while Martin, though hurt, was able to continue despite losing time on the leaders.