Oh that is not going to stop law enforcement (who as a general rule doesn't have to be truthful). They can say they have evidence that you were there and on the spot (if you decide to talk to them) they can get you for lying or asking when and why you were at the location in question (and the reasons). Plenty can be done with this even on a hypothetical. I think this is (in the hands of the right interrogator super helpful. It's not like someone who commits a crime is going to be up on the latest forensic tests and it does sound possible.