As has been stated many times before JJD was known to drop the valuable items he stole from one residence at the site of a different attack, as detailed on pg 67 of I'll Be Gone In the Dark, and many other places:
Imgur
He was a
policeman for 48 of the 49 canonical EAR attacks. He wasn't stupid enough to try to sell / fence any of his stolen items. That is exactly how the police THOUGHT they would catch him, be checking local pawn shops etc...
As for worthless trinkets, he dumped entire bags of the stuff, perhaps stolen from a dozen other houses at various times, including in this attempt to frame a strange young man, who was the neighbor of the victim of EAR attack number 6.
My own opinions...