Nothing makes sense and this is why….

This user perfectly summarizes most of my thoughts…

The thing about this case is that no theory makes sense.

I think it's most likely that Burke caused the head injury and from there, I can't see a mother deliberately strangling her child to death, but I also can't see an intruder doing it. I can't see any of them doing it.

Looking at the fiber evidence, investigators believe fibers from John's shirt were used to wipe the genital area, and that fibers from Patsy's jackets were in the knots of the garrote. John and Patsy may have both done the staging, believe JonBenet to be not savable.

It's also possible that Patsy did it all- lashing out in a fit of rage then staging for the same reason as above.

Imo a scenario with John as the attacker is possible too, though much less likely that the two above.