Currently, the Salesforce field Account Owner syncs automatically as a standard field mapping from the Account object in Salesforce to the HubSpot Owner property on company records in HubSpot. This is different from the HubSpot Owner contact property, which is automatically mapped to Lead/Contact Owner in Salesforce and will not be updated by the Account Owner field in Salesforce.
If have the HubSpot CRM enabled, and you'd like contact ownership to be inherited from the account/company, you can enable a setting in HubSpot to automatically sync company owner to associated contacts. To do this, navigate in HubSpot Sales to Settings > select Contacts in the left sidebar menu. Click to toggle the Sync record ownership between contacts and companies switch on. Read more on this setting and the other ways that it can affect your contacts and companies here.