maybe the time loop is only in the cordy village and not the outside world and people external to the village can come and go and have an influence maybe. the flow of time will be normal outside aka few days after lumien sent the telegram but the town went back in time.

it reminds me of the pet of that guy, Roy King, and his owl mr harry.

the spectator pathway demigod, that's what i remembered, Hermes

it is not isekai, this is earth. It has just regressed aka become primitive.