It’s possible his success may have been more because of his artificial limbs than despite them.
From https://www.douglasbaderfoundation.com/dbf/who-we-are/sir-douglas-bader
The advantages of artificial limbs
It is also thought that the loss of his legs gave Bader an advantage over other pilots in combat. The high G-force produced in combat manoeuvres caused many pilots to black out as blood drained away from their brain to other parts of the body. Because he had no legs, Bader could sustain greater G-force without losing consciousness.
There was a rumour going around for a while that Fox McCloud from the Star Fox video games had artificial legs, and that it made him a better pilot.