Only because this is living rent-free in my head - a good wheel analogy would be Type C is rubber wheels and Type A is wooden wheels. Compatible, but nobody uses wood anymore.
I don't think that analogy works. On the female side, Type A is robust and Type C is fragile. I'd prefer to have my equipment with the more robust solution if at all possible, because fixing it is a real problem.
https://dcrwheels.co.uk/custom-wheelsets/building-with-woode...
"Ghisallo have been making rims since the 1940s"