<<The profile calls for the PF to immediately call "Set Max Thrust" as soon as the yaw is detected.>>
A bad idea, in my opinion, as it could certainly result, especially with a slippery runway, ending up in the weeds.
Derated takeoffs are predicated on the derated thrust set, and as such, meet all performance criteria.
It is poor practise to select MAX thrust at an inopportune time, especially just close to rotation.