Having previously praised Jim Butcher's Alera series, I now have to be mean about it, although not for its structure, that's still fine.
More that: Okay, so the ~story~ behind the concept is that Butcher said he could turn any two bad ideas into a good story, and the two ideas he was given were Pokemon and Lost Roman Legion.
Leaving aside entirely that 'the most profitable media franchise to ever exist' and 'a mysterious historical incident involving one of the more culturally relevant historical empires' aren't really bad ideas in any meaningful sense -- he also just straight up doesn't use those two ideas.
For Pokemon, the counterpart here is furies and furycrafting, except they don't really engage with the core idea of Pokemon at all. The basic idea of Pokemon is 'What if there were magical creatures you could catch and fight with and also you could earn the purest love from them.' Furies are ... not that. They are bodiless, personality-less elemental powers. There is frequent mention of people having personal fury partners, many of whom are named, but they are not characters or even pets, they are just sort of set dressing to a magic system that is in almost every meaningful sense just having elemental powers.
For the Lost Roman Legion, the Alerans are meant to be descendants of them, having been isekai'd into another world, except there's nothing particularly Roman about the Alerans. They're just sort of basically generic fantasy Europeans with a few Latin words glued on top. If you took out the Latin, you could say that it was a lost detachment of soldiers serving Charlemagne, or a lost tribe of Celts, and nothing would change.
This wouldn't be a problem normally, but as we've been so proudly told, the brief here is 'Romans with Pokemon' and we have been given Not Romans with Not Pokemon. If you go to a restaurant and order a curry, and the waiter brings you meatballs and pasta, then the quality of the pasta meatballs has very little bearing on the fact that it isn't a curry.