There is quite a variety of sets of rules that can be used to run a game set in the middle of the 20th Century. My choice of Call of Cthulhu was based on several factors. Firstly a bit of familiarity; having to learn an entirely new scheme was not an appealing prospect. My copy of CoC on the shelf was a couple of editions out of date but the bones of the system would hopefully be the same. A little research soon confirmed that the current, 7th Edition was very well thought of and recognisable to users of previous versions.
Additionally the rules had a new(ish) WW2 supplement - Achtung Cthulhu, which might have some supplements and adventure modules that I might be able to use to flesh out my version of the Rivers world and populate a hopefully engaging campaign. I bought a bundle of pdfs from Drivethru' RPG, giving me a whole bunch of military character types and a useful range of enemy protagonists that I could use all, some or none of.
The "official" game is more akin to the novelss, so police procedural will be more emphasised rather than my more action based WW2 setting. As I was to find my style as an online Keeper is more improvisational than I had remembered (It had been more than a decade...!)