Good catch, Shiloh. Ties in with the possibility that JR's black WOOL shirt fibers and PR's jacket fibers could have been taken from the parents' closet to implicate them, which closet was some distance from their sleeping area, separated by a door, stairway ( the straight stairs) , and a bathroom.
See Schiller's PMPT, Appendix A, FLOOR PLANS. There appears to be another smaller closet at the other end of the 3rd floor but it's not marked closet.
Does anyone know a source that the stick had been whittled? So if that was done to implicate Burke, probably finding his whittling knife that LHP had supposedly hidden would have been for the same purpose, shows a lot of premeditation, I would think, probably a to-do list? But he forgot the duffle bag? Anyone know a way to ask ST what was in the duffle bag?