You know, I was just joking, but turns out, Middle Endian really does exist!

https://en.wikipedia.org/wiki/Endianness#Middle-Endian

And it's just as crazy as one'd think. It's a 32bit value consisting of two 16bit little endian words jumbled together in big endian. So the byte order is B A D C.

Whenever I think "This is a really stupid idea, nobody would do that", turns out, someone actually did that.