It does tell us a bit about him. Lots of people have an interest in movies like that, but I'd definitely expect that from a guy who would commit a crime like this.
Also: On Oct. 5, 2022, Allen searched "Delphi murders." He had searched "Delphi murders update" five times in the first week of August 2022.
Not surprised at all to see those searches about the case. I imagine he searched at a much higher frequency early on, but it tapered off until there were updates in the media (nothing like that going on during that time period).