I know what I would expect them to do, simply walk across the street and ask if they saw anything. Maybe he just got a legitimate lead, maybe it's a concocted hypothesis. At the very least, it’s 10 minutes of his time that demonstrates he is listening and is committed to trying to determine what happened. I don’t think the original poster has suggested that the PO go kick the door down, he’s simply asking that they take an interested in the info provided.
I’ll call it like I see it…. an Officer who was an hour away from 2 days off, and apparently left (mentally)for those 2 days off well before his shift ended.
More than likely, as has been said in earlier posts, the neighbors have been or will be talked to. DETECTIVES do that kind of thing. It's not left, typically, for your average beat cop.