You're getting it all backwards. Quickstep does Spanish stage races. It's Movistar that's the cobbled team.
Yeah, the roles have completely changed.
Since 2019 (San Sebastian), Quickstep has become a stage racing climbing team around Remco, prefering dry hot Spanish conditions.
In the meantime, this year, Movistar is very good in the Belgian classics, and has strong line-ups there.
Few weeks ago, PCT Euskaltel was best team of the day at a not so small Belgian classic race, cobbled and cold. So one could say that at the moment, sometimes, Quickstep and Euskaltel are almost equally strong in the Flemish classics. That‘s crazy somehow.
I think it has a lot to do with Remco. Lefevere developed some kind of „love“ for him, as if Remco was his own son.
Lefevere celebrated with Museeuw, with Boonen and Alaphilippe, but these were business relationships. With Remco, it‘s more intense, you can see this by Lefevere‘s tears when Remco wins.
Boonen was more Peeters‘ guy. Whenever Tom had a successful spring, Wilfried arrived five kilograms heavier than before, at the Tour of Belgium, after the after-classics holidays… ;-) (Man, could he eat… ;-) )