Is this conclusion purely theoretical, or based on any experience at all?
Because anecdotally, the cops that interacted with me and people around me where completely uninterested in doing any kind of work, no matter how easy it was.
That is contrary to my experience tracing a stolen MacBook Pro to a specific apartment over find my and being told by the San Mateo police I could file a report if I really wanted to, but not to expect anything to happen.
I’d expect it depends on the context of your jurisdiction, and so really is not that simple.
That is the exact opposite result of every single experience and anecdote with the cops I have ever had or heard from friends or family
The reason is that sitting in a car, playing solitaire or Pokemon go, collecting huge amounts of cash for doing nothing is even easier (and rewarding to most police officers) than solving an easy crime.
Online or telephone stuff won't. It is much more complex and requires system knowledge.
It's that simple.