Reasonable course of action
Recently there have been lots of comments about law enforcement authorities of one kind or another, often based in the USA applying extraterritoriality or just demanding information without judicial oversight.
In this instance both these issues appear not to be relevant, and the police are making a not unreasonable enquiry, but still copping some flak. In the old days if someone were to, for example, burn down a building, it would not be unreasonable for the police to enquire of the local library if someone had recently checked out "Mrs. Miggins' Guide to Arson and Animal Husbandry for Beginners". Good old fashioned police work I think it used to be called.
If this search turns up any evidence, I would be very surprised (although I am aware that the legal systems in some states can be strange to us Brits) if this lead to a conviction without at least some further proof. It might however raise a reasonable cause to make further enquiries relating to one or more people. If it turns out that the search was by the local "soup kitchen" service because the person had applied to be a volunteer, this would then hopefully be looked at, seen to be a coincidence and dismissed, allowing the police to concentrate their resources somewhere hopefully more fruitful.
As for the amount of tech info, if the link comes back to a phone which suspect X says "this is mine, no-one else uses it" this could help prove a case. if it turns out to be a shared PC in a student house left unsecured then of course its a bit trickier for the police, but again not an unreasonable request.