Sort of a box pleat and knife pleat combined.
It's probably closer to a knife. If you lay out a kilt for knife pleats and then fold the reveal part of the knife back on itself, you end up with the military box pleat. Of course, the stitching is completely different.

Just to be sure that I have it clear, for the standard male pattern, the longer back fold - that is the same orientation as the single pleat of a knife pleated kilt, and would point towards the back on the left and the front on the right?
Yes, the back part of the pleat is standard knife and the front (visible) part points the other way.

I wonder if I can adapt it to a Kinguisse style and not go mad in the process? No need to answer that, I think I lost the plot some time ago.
If that doesn't drive you mad, consider (like me!) the possibility of doing this to the sett!

Ah the joy of kilt making - just when you think you have really got a handle on it someone adds a whole extra dimension.
But without the continual challenges, life would be boring.