>>34187827As we have seen in Alola, Gyms and the E4 are not inherent to a region, but pokemon battling is. From this we learn that pokemom battles are important to the culture of the pokemon world. Therefore we can assume they are important enough to maintain the ability for people to engage in them and recover. I don't think it would be easy to compare such a thing to our world equivalent, but perhaps it's like a library? In the US education is a right, and libraries act to give you the ability to pursue it. Likewise, pokemon battles are a right and part of everyday life (ie you don't have to be a trainer to battle). Pokemon centers serve to uphold that ability, so as when a pokemon is hurt they can become healtyh again, like when you finish a book and want to borrow another one, I presume. The cost is also pretty cheap, since if there is advanced enough technology to transform a pokemon into energy and store it into a pokeball, treating them while in their pokeballs as Nurse Joys do when they place them on the machine behind the counter should be within the realm of possibility.
Don't know enough about socialism though. But that's my view on pokecenters.