Very little is known about the Hunnic culture, so it is not really possible to establish this with any certainty. That being said, it’s pretty typical for pastorial nomads like this to collectively own and care for their herd. Although it’s also worth noting that communal property does not usually extend between different tribes, even when these tribes were united to some extent, such as under Attila.

In general it’s difficult to fairly place ancient tribal societies into the modern day political spectrum. The structure and scale of societies has changed radically.