I would submit that all social relationships have power dynamics. Politics is about allocation of resources more than power accumulation. You may be conflating the two because more power allows you to allocate resources with less intereference.

It's more social, the translation of political is coming from polis; man is by nature meant to be part of a city or community.

In the original its meaning is being part of a greater unit.

of course they are. his original quote says 'political' but often translations or quotes may say 'social' (informally).