It might add an element of subterfuge to the game.
I'd say that the one that has traveled the longest distance wins, and captures the piece that started closer.
(My implicit mental model is that both pieces "depart" from their home squares at the same time and travel at a constant rate, so the closer piece arrives at an empty square, while the more distant piece arrives second and captures the first-arriving piece. This may also encourage more dynamic play)
https://en.wikipedia.org/wiki/Kung-Fu_Chess https://www.youtube.com/watch?v=fVob7meb83w
Ha! True enough, "a good pun is its reword" ;).
Anyway, I've been looking forward to this day, where SJW start trying to change chess because it's "racist" because white have advantage of initiative and "sexist" because it makes you sacrify the queen to save the king. Looking forward to see that level of stupidity being reached!!