As someone who has yet to play the games but knows a lot of the smt franchise, and about the plot of the raidou kuzunoha my review might be a little off somewhere, but this manga was fully readeable even without playing the Devil summoner games.
First the devil summoner games are part of the Shin megami tensei franchise, The 2 games we are concerned about are the Raidou Kuzunoha games, each of the games follows Raidou Kuzunoha doing devil summoner stuff and protect the capital, just like this manga. The 3 stories are somewhat disconnected and as far as i know they are fully understandable without knowing the other 2 parts, in the timeline i think this manga would be the third in order following a neutral ending in the games, which also connect with The if game and the Persona series. How does this affect the plot of the manga, im pretty sure it doesn't, but its a thing.
Anyways to the plot of the manga, its really simple, there is this really cool guy who catches demon pokemon style and uses them to fight other demons and devil summoners, and protect the tokyo of the 30s. Japan in the 30s is the coolest setting i've seen in a manga in quite a while, The events leading up to the WWII are not mention, and even tho raidou looks like a militar thats just his HS uniform, so everything cool. In this setting you can see the clahses between modern imperial japan and older traditional japan. I also recommend you get a good translation of this thing as it has elements of folklore and traditional japan.
Raidou himself is a realy cool character, he is the silent kind, that does cool things. I mean he has demons, a gun and a magical katana, cooler than that is hard to get. He is shown to have a kind heart and moments of weaknesses.
Another cool thing abou the manga is the art, its really neat, its not glorious but its better than the average, and some of the demons look just perfect. But its also really bland sometimes IDK i just feel its missing something to be perfect.
Now onto the plot itself, its really meh i wasn't exactly biting my nails about it, but it wasn't boring, has some interesting moments. But the story doesn't really play itself smart in anyway. In my modest opionion this would probably have suited a game better than a manga in some parts of the plot. Its supposed to be a mistery, but the mistery is mostly a guy telling raidou what happened
Moving on, the rest of the cast is really meh, some really get on my nerves, (og morgana wtf). Im giving a free pass to the detective guy since i haven't played the games and it seems he could play a major rol in those. Most of the girls are fine with me they can start annoying but get good with time, Gouto is MUCH MUCH MUCH better than morgana(not hard ngl) and the rest of the cast is just okay, well rounded characters i guess.
The probably best thing of the manga is how much fun this was, like the plot might be meh, but i had genuine fun with it, i just had A LOT OF FUN with it. Its a manga about hunting demons down, and all the demons are part of mitology and aren't your average nine tails fox, or your sexy sexy greeko-roman mitolgy. SO if you are interested in that give it a go.
Overall, really fun manga, Will play the games, recomended read if you like persona or smt