This is silly.
#1, a landing in that much crosswind is never routine. #2. Training flight or no, the Captain is responsible for everything that happens on the flight, ergo the term "Pilot IN COMMAND." If you think the FAA isn't going to jerk his ticket over this, you are mistaken --- again.
Do not confuse captain with Pilot In Command (PIC). The PIC is the one who, as I wrote, is the "sole manipulator of the controls".
The PIC changes throughout the flight and communicating that is more than a courtesy. You'll hear it on the cockpit tapes:
"You have command of the aircraft." ~"I have command of the aircraft."
"I have command of the aircraft." ~"You have command of the aircraft."
The FAA is not going to "jerk his ticket" because the FAR is very specific that the PIC is responsible. She was signed off on her Airline Transport Pilot (ATP) certification by the FAA; not the airline and not by the captain.
This was not a training flight. She had the certifications and was the PIC. She wasn't showing any signs of being drunk or incapacitated. There is no room for fighting over controls like in cartoons and movies. There is no room for doubting or second-guessing.