No, it's as I said.

There was a famous case in 2017 where a surgeon was violently removed from an overbooked United Express airliner. He had refused to leave voluntarily, as doing so would have meant not seeing his patients the next day. [0] I'm not sure this strictly counts as travelling for work, but the points remains.

Plenty of people fly abroad for medical care. [1]

Over 2,000 flights were cancelled in this incident. Over 300,000 would-be passengers were affected. [2] It's implausible that nobody's medical care was affected.

[0] https://en.wikipedia.org/wiki/2017_United_Express_passenger_...

[1] https://en.wikipedia.org/wiki/Medical_tourism

[2] https://aerospaceglobalnews.com/news/uk-airport-disruption-f...