Actually, there does seem to be at least one area of academia that at least partially looks kinda like this. Specifically, crypto research. I have an on and off interest in it, so have read a couple crypto papers and descriptions here and there, and many do seem to take a combination informal (even playful) and technical and formal mixture style of writing.

I mean, heck, think of even the way algorithms are discussed, the whole cast of characters... Alice and Bob, Eve the passive eavesdropper, malicious Mallory who manipulates the messages, and so on.