No worries, textual communications do not convey the nuances verbal conversation can provide, so misunderstandings are inevitable.
> It might be easier if you just stated your actual view instead of playing twenty questions ...
What I am saying is that criminals do their best to "throw off the scent" of who they are. The purpose of their stealing license plates is to infuse confusion and/or delay in discovering their identity.
> Just to be clear: I would be absolutely fine with law enforcement investigating the appearance of my stolen plates at a crime scene ...
Perhaps you would, depending on the circumstance and timing of said investigation. And perhaps others may not be as confident, including your future self.
Either way, a person otherwise completely uninvolved would now be a subject in a criminal investigation. The second-order effects of this only exist due to intentional identity misdirection, which is, of course, the whole purpose of license plates being stolen in the first place.